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Finding the Fourth Proportional to 9,901.72, 13,662.12 and 5,922.16

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Solution

The fourth proportional to 9,901.72, 13,662.12 and 5,922.16 is: 8,171.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.72 : 13,662.12 = 5,922.16 : x
  2. Step 2: Convert to fraction form
    9,901.72/13,662.12 = 5,922.16/x
  3. Step 3: Cross multiply
    9,901.72x = 13,662.12 × 5,922.16
  4. Step 4: Simplify right side
    9,901.72x = 80,909,260.58
  5. Step 5: Solve for x
    x = 80,909,260.58/9,901.72
  6. Step 6: Final answer
    x = 8,171.23

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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.