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Finding the Fourth Proportional to 24,731.28, 37,096.48 and 7,864.21

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Solution

The fourth proportional to 24,731.28, 37,096.48 and 7,864.21 is: 11,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.28 : 37,096.48 = 7,864.21 : x
  2. Step 2: Convert to fraction form
    24,731.28/37,096.48 = 7,864.21/x
  3. Step 3: Cross multiply
    24,731.28x = 37,096.48 × 7,864.21
  4. Step 4: Simplify right side
    24,731.28x = 291,734,508.98
  5. Step 5: Solve for x
    x = 291,734,508.98/24,731.28
  6. Step 6: Final answer
    x = 11,796.18

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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.