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Finding the Fourth Proportional to 15,591.12, 23,387 and 5,202.96

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Solution

The fourth proportional to 15,591.12, 23,387 and 5,202.96 is: 7,804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,591.12 : 23,387 = 5,202.96 : x
  2. Step 2: Convert to fraction form
    15,591.12/23,387 = 5,202.96/x
  3. Step 3: Cross multiply
    15,591.12x = 23,387 × 5,202.96
  4. Step 4: Simplify right side
    15,591.12x = 121,681,625.52
  5. Step 5: Solve for x
    x = 121,681,625.52/15,591.12
  6. Step 6: Final answer
    x = 7,804.55

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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.