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Finding the Fourth Proportional to 24,313, 36,483.84 and 10,272.12

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Solution

The fourth proportional to 24,313, 36,483.84 and 10,272.12 is: 15,414.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313 : 36,483.84 = 10,272.12 : x
  2. Step 2: Convert to fraction form
    24,313/36,483.84 = 10,272.12/x
  3. Step 3: Cross multiply
    24,313x = 36,483.84 × 10,272.12
  4. Step 4: Simplify right side
    24,313x = 374,766,382.54
  5. Step 5: Solve for x
    x = 374,766,382.54/24,313
  6. Step 6: Final answer
    x = 15,414.24

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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.