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Finding the Fourth Proportional to 17,649, 24,356.25 and 9,691.14

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Solution

The fourth proportional to 17,649, 24,356.25 and 9,691.14 is: 13,374.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649 : 24,356.25 = 9,691.14 : x
  2. Step 2: Convert to fraction form
    17,649/24,356.25 = 9,691.14/x
  3. Step 3: Cross multiply
    17,649x = 24,356.25 × 9,691.14
  4. Step 4: Simplify right side
    17,649x = 236,039,828.63
  5. Step 5: Solve for x
    x = 236,039,828.63/17,649
  6. Step 6: Final answer
    x = 13,374.12

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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.