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Finding the Fourth Proportional to 9,171.97, 12,657.21 and 5,193.04

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Solution

The fourth proportional to 9,171.97, 12,657.21 and 5,193.04 is: 7,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.97 : 12,657.21 = 5,193.04 : x
  2. Step 2: Convert to fraction form
    9,171.97/12,657.21 = 5,193.04/x
  3. Step 3: Cross multiply
    9,171.97x = 12,657.21 × 5,193.04
  4. Step 4: Simplify right side
    9,171.97x = 65,729,397.82
  5. Step 5: Solve for x
    x = 65,729,397.82/9,171.97
  6. Step 6: Final answer
    x = 7,166.33

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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.