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Finding the Fourth Proportional to 10,051.92, 15,073.20 and 5,124.24

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Solution

The fourth proportional to 10,051.92, 15,073.20 and 5,124.24 is: 7,683.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.92 : 15,073.20 = 5,124.24 : x
  2. Step 2: Convert to fraction form
    10,051.92/15,073.20 = 5,124.24/x
  3. Step 3: Cross multiply
    10,051.92x = 15,073.20 × 5,124.24
  4. Step 4: Simplify right side
    10,051.92x = 77,238,694.37
  5. Step 5: Solve for x
    x = 77,238,694.37/10,051.92
  6. Step 6: Final answer
    x = 7,683.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.