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Finding the Fourth Proportional to 24,965.92, 37,446.40 and 6,497.92

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Solution

The fourth proportional to 24,965.92, 37,446.40 and 6,497.92 is: 9,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,965.92 : 37,446.40 = 6,497.92 : x
  2. Step 2: Convert to fraction form
    24,965.92/37,446.40 = 6,497.92/x
  3. Step 3: Cross multiply
    24,965.92x = 37,446.40 × 6,497.92
  4. Step 4: Simplify right side
    24,965.92x = 243,323,711.49
  5. Step 5: Solve for x
    x = 243,323,711.49/24,965.92
  6. Step 6: Final answer
    x = 9,746.23

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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.