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Finding the Fourth Proportional to 11,777.68, 16,254.19 and 8,009.20

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Solution

The fourth proportional to 11,777.68, 16,254.19 and 8,009.20 is: 11,053.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.68 : 16,254.19 = 8,009.20 : x
  2. Step 2: Convert to fraction form
    11,777.68/16,254.19 = 8,009.20/x
  3. Step 3: Cross multiply
    11,777.68x = 16,254.19 × 8,009.20
  4. Step 4: Simplify right side
    11,777.68x = 130,183,157.12
  5. Step 5: Solve for x
    x = 130,183,157.12/11,777.68
  6. Step 6: Final answer
    x = 11,053.38

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Half scale
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Double scale
Find fourth proportional to 11,778.68, 16,255.57 and 8,010.20
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.