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Finding the Fourth Proportional to 9,727.74, 14,591.07 and 8,644.50

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Solution

The fourth proportional to 9,727.74, 14,591.07 and 8,644.50 is: 12,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.74 : 14,591.07 = 8,644.50 : x
  2. Step 2: Convert to fraction form
    9,727.74/14,591.07 = 8,644.50/x
  3. Step 3: Cross multiply
    9,727.74x = 14,591.07 × 8,644.50
  4. Step 4: Simplify right side
    9,727.74x = 126,132,504.62
  5. Step 5: Solve for x
    x = 126,132,504.62/9,727.74
  6. Step 6: Final answer
    x = 12,966.27

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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.