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Finding the Fourth Proportional to 9,191.97, 12,684.87 and 5,000.22

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Solution

The fourth proportional to 9,191.97, 12,684.87 and 5,000.22 is: 6,900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.97 : 12,684.87 = 5,000.22 : x
  2. Step 2: Convert to fraction form
    9,191.97/12,684.87 = 5,000.22/x
  3. Step 3: Cross multiply
    9,191.97x = 12,684.87 × 5,000.22
  4. Step 4: Simplify right side
    9,191.97x = 63,427,140.67
  5. Step 5: Solve for x
    x = 63,427,140.67/9,191.97
  6. Step 6: Final answer
    x = 6,900.28

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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.