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Finding the Fourth Proportional to 10,049.70, 13,869.04 and 5,573.15

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Solution

The fourth proportional to 10,049.70, 13,869.04 and 5,573.15 is: 7,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.70 : 13,869.04 = 5,573.15 : x
  2. Step 2: Convert to fraction form
    10,049.70/13,869.04 = 5,573.15/x
  3. Step 3: Cross multiply
    10,049.70x = 13,869.04 × 5,573.15
  4. Step 4: Simplify right side
    10,049.70x = 77,294,297.47
  5. Step 5: Solve for x
    x = 77,294,297.47/10,049.70
  6. Step 6: Final answer
    x = 7,691.20

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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.