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Finding the Fourth Proportional to 7,777.92, 10,733.40 and 4,241.19

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Solution

The fourth proportional to 7,777.92, 10,733.40 and 4,241.19 is: 5,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.92 : 10,733.40 = 4,241.19 : x
  2. Step 2: Convert to fraction form
    7,777.92/10,733.40 = 4,241.19/x
  3. Step 3: Cross multiply
    7,777.92x = 10,733.40 × 4,241.19
  4. Step 4: Simplify right side
    7,777.92x = 45,522,388.75
  5. Step 5: Solve for x
    x = 45,522,388.75/7,777.92
  6. Step 6: Final answer
    x = 5,852.77

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Half scale
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Double scale
Find fourth proportional to 7,778.92, 10,734.78 and 4,242.19
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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.