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Finding the Fourth Proportional to 9,497.80, 14,246.70 and 5,755.60

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Solution

The fourth proportional to 9,497.80, 14,246.70 and 5,755.60 is: 8,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.80 : 14,246.70 = 5,755.60 : x
  2. Step 2: Convert to fraction form
    9,497.80/14,246.70 = 5,755.60/x
  3. Step 3: Cross multiply
    9,497.80x = 14,246.70 × 5,755.60
  4. Step 4: Simplify right side
    9,497.80x = 81,998,306.52
  5. Step 5: Solve for x
    x = 81,998,306.52/9,497.80
  6. Step 6: Final answer
    x = 8,633.40

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Half 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.