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Finding the Fourth Proportional to 17,599.41, 24,287.75 and 9,642.12

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Solution

The fourth proportional to 17,599.41, 24,287.75 and 9,642.12 is: 13,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,599.41 : 24,287.75 = 9,642.12 : x
  2. Step 2: Convert to fraction form
    17,599.41/24,287.75 = 9,642.12/x
  3. Step 3: Cross multiply
    17,599.41x = 24,287.75 × 9,642.12
  4. Step 4: Simplify right side
    17,599.41x = 234,185,351.82
  5. Step 5: Solve for x
    x = 234,185,351.82/17,599.41
  6. Step 6: Final answer
    x = 13,306.43

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Half scale
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Double scale
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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.