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Finding the Fourth Proportional to 9,463.92, 13,063.24 and 5,924.88

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Solution

The fourth proportional to 9,463.92, 13,063.24 and 5,924.88 is: 8,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.92 : 13,063.24 = 5,924.88 : x
  2. Step 2: Convert to fraction form
    9,463.92/13,063.24 = 5,924.88/x
  3. Step 3: Cross multiply
    9,463.92x = 13,063.24 × 5,924.88
  4. Step 4: Simplify right side
    9,463.92x = 77,398,129.41
  5. Step 5: Solve for x
    x = 77,398,129.41/9,463.92
  6. Step 6: Final answer
    x = 8,178.23

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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.