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Finding the Fourth Proportional to 9,117.20, 13,675.80 and 8,461.10

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Solution

The fourth proportional to 9,117.20, 13,675.80 and 8,461.10 is: 12,691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.20 : 13,675.80 = 8,461.10 : x
  2. Step 2: Convert to fraction form
    9,117.20/13,675.80 = 8,461.10/x
  3. Step 3: Cross multiply
    9,117.20x = 13,675.80 × 8,461.10
  4. Step 4: Simplify right side
    9,117.20x = 115,712,311.38
  5. Step 5: Solve for x
    x = 115,712,311.38/9,117.20
  6. Step 6: Final answer
    x = 12,691.65

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.