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Finding the Fourth Proportional to 10,502.81, 14,489.16 and 7,098.73

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Solution

The fourth proportional to 10,502.81, 14,489.16 and 7,098.73 is: 9,793.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.81 : 14,489.16 = 7,098.73 : x
  2. Step 2: Convert to fraction form
    10,502.81/14,489.16 = 7,098.73/x
  3. Step 3: Cross multiply
    10,502.81x = 14,489.16 × 7,098.73
  4. Step 4: Simplify right side
    10,502.81x = 102,854,571.92
  5. Step 5: Solve for x
    x = 102,854,571.92/10,502.81
  6. Step 6: Final answer
    x = 9,793.05

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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.