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Finding the Fourth Proportional to 24,731.78, 37,097.24 and 7,864.71

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Solution

The fourth proportional to 24,731.78, 37,097.24 and 7,864.71 is: 11,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731.78 : 37,097.24 = 7,864.71 : x
  2. Step 2: Convert to fraction form
    24,731.78/37,097.24 = 7,864.71/x
  3. Step 3: Cross multiply
    24,731.78x = 37,097.24 × 7,864.71
  4. Step 4: Simplify right side
    24,731.78x = 291,758,995.08
  5. Step 5: Solve for x
    x = 291,758,995.08/24,731.78
  6. Step 6: Final answer
    x = 11,796.93

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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.