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Finding the Fourth Proportional to 6,937.92, 10,411.20 and 2,324.16

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Solution

The fourth proportional to 6,937.92, 10,411.20 and 2,324.16 is: 3,487.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.92 : 10,411.20 = 2,324.16 : x
  2. Step 2: Convert to fraction form
    6,937.92/10,411.20 = 2,324.16/x
  3. Step 3: Cross multiply
    6,937.92x = 10,411.20 × 2,324.16
  4. Step 4: Simplify right side
    6,937.92x = 24,197,294.59
  5. Step 5: Solve for x
    x = 24,197,294.59/6,937.92
  6. Step 6: Final answer
    x = 3,487.69

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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.