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Finding the Fourth Proportional to 17,414.19, 24,031.58 and 9,962.19

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Solution

The fourth proportional to 17,414.19, 24,031.58 and 9,962.19 is: 13,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.19 : 24,031.58 = 9,962.19 : x
  2. Step 2: Convert to fraction form
    17,414.19/24,031.58 = 9,962.19/x
  3. Step 3: Cross multiply
    17,414.19x = 24,031.58 × 9,962.19
  4. Step 4: Simplify right side
    17,414.19x = 239,407,165.96
  5. Step 5: Solve for x
    x = 239,407,165.96/17,414.19
  6. Step 6: Final answer
    x = 13,747.82

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Half scale
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Double scale
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Similar ratio
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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.