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Finding the Fourth Proportional to 9,580.53, 13,221.12 and 5,600.85

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Solution

The fourth proportional to 9,580.53, 13,221.12 and 5,600.85 is: 7,729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.53 : 13,221.12 = 5,600.85 : x
  2. Step 2: Convert to fraction form
    9,580.53/13,221.12 = 5,600.85/x
  3. Step 3: Cross multiply
    9,580.53x = 13,221.12 × 5,600.85
  4. Step 4: Simplify right side
    9,580.53x = 74,049,481.38
  5. Step 5: Solve for x
    x = 74,049,481.38/9,580.53
  6. Step 6: Final answer
    x = 7,729.16

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Half scale
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Double scale
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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.