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Finding the Fourth Proportional to 8,009.53, 11,053.03 and 4,654.23

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Solution

The fourth proportional to 8,009.53, 11,053.03 and 4,654.23 is: 6,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.53 : 11,053.03 = 4,654.23 : x
  2. Step 2: Convert to fraction form
    8,009.53/11,053.03 = 4,654.23/x
  3. Step 3: Cross multiply
    8,009.53x = 11,053.03 × 4,654.23
  4. Step 4: Simplify right side
    8,009.53x = 51,443,343.82
  5. Step 5: Solve for x
    x = 51,443,343.82/8,009.53
  6. Step 6: Final answer
    x = 6,422.77

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Half scale
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Double scale
Find fourth proportional to 8,010.53, 11,054.41 and 4,655.23
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.