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Finding the Fourth Proportional to 5,652.73, 7,801.14 and 5,200.75

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Solution

The fourth proportional to 5,652.73, 7,801.14 and 5,200.75 is: 7,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.73 : 7,801.14 = 5,200.75 : x
  2. Step 2: Convert to fraction form
    5,652.73/7,801.14 = 5,200.75/x
  3. Step 3: Cross multiply
    5,652.73x = 7,801.14 × 5,200.75
  4. Step 4: Simplify right side
    5,652.73x = 40,571,778.86
  5. Step 5: Solve for x
    x = 40,571,778.86/5,652.73
  6. Step 6: Final answer
    x = 7,177.38

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Half 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.