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Finding the Fourth Proportional to 17,649.68, 24,356.95 and 9,691.94

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Solution

The fourth proportional to 17,649.68, 24,356.95 and 9,691.94 is: 13,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.68 : 24,356.95 = 9,691.94 : x
  2. Step 2: Convert to fraction form
    17,649.68/24,356.95 = 9,691.94/x
  3. Step 3: Cross multiply
    17,649.68x = 24,356.95 × 9,691.94
  4. Step 4: Simplify right side
    17,649.68x = 236,066,097.98
  5. Step 5: Solve for x
    x = 236,066,097.98/17,649.68
  6. Step 6: Final answer
    x = 13,375.09

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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.