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Finding the Fourth Proportional to 9,331.72, 12,874.08 and 6,498.34

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Solution

The fourth proportional to 9,331.72, 12,874.08 and 6,498.34 is: 8,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.72 : 12,874.08 = 6,498.34 : x
  2. Step 2: Convert to fraction form
    9,331.72/12,874.08 = 6,498.34/x
  3. Step 3: Cross multiply
    9,331.72x = 12,874.08 × 6,498.34
  4. Step 4: Simplify right side
    9,331.72x = 83,660,149.03
  5. Step 5: Solve for x
    x = 83,660,149.03/9,331.72
  6. Step 6: Final answer
    x = 8,965.14

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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.