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Finding the Fourth Proportional to 5,165.60, 7,747.80 and 1,468.40

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Solution

The fourth proportional to 5,165.60, 7,747.80 and 1,468.40 is: 2,202.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.60 : 7,747.80 = 1,468.40 : x
  2. Step 2: Convert to fraction form
    5,165.60/7,747.80 = 1,468.40/x
  3. Step 3: Cross multiply
    5,165.60x = 7,747.80 × 1,468.40
  4. Step 4: Simplify right side
    5,165.60x = 11,376,869.52
  5. Step 5: Solve for x
    x = 11,376,869.52/5,165.60
  6. Step 6: Final answer
    x = 2,202.43

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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.