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Finding the Fourth Proportional to 24,963.46, 37,432.31 and 9,164.45

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Solution

The fourth proportional to 24,963.46, 37,432.31 and 9,164.45 is: 13,741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,963.46 : 37,432.31 = 9,164.45 : x
  2. Step 2: Convert to fraction form
    24,963.46/37,432.31 = 9,164.45/x
  3. Step 3: Cross multiply
    24,963.46x = 37,432.31 × 9,164.45
  4. Step 4: Simplify right side
    24,963.46x = 343,046,581.14
  5. Step 5: Solve for x
    x = 343,046,581.14/24,963.46
  6. Step 6: Final answer
    x = 13,741.95

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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.