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Finding the Fourth Proportional to 9,747.38, 13,451.08 and 5,498.38

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Solution

The fourth proportional to 9,747.38, 13,451.08 and 5,498.38 is: 7,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.38 : 13,451.08 = 5,498.38 : x
  2. Step 2: Convert to fraction form
    9,747.38/13,451.08 = 5,498.38/x
  3. Step 3: Cross multiply
    9,747.38x = 13,451.08 × 5,498.38
  4. Step 4: Simplify right side
    9,747.38x = 73,959,149.25
  5. Step 5: Solve for x
    x = 73,959,149.25/9,747.38
  6. Step 6: Final answer
    x = 7,587.59

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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.