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Finding the Fourth Proportional to 5,693.49, 8,546.31 and 3,507.71

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Solution

The fourth proportional to 5,693.49, 8,546.31 and 3,507.71 is: 5,265.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.49 : 8,546.31 = 3,507.71 : x
  2. Step 2: Convert to fraction form
    5,693.49/8,546.31 = 3,507.71/x
  3. Step 3: Cross multiply
    5,693.49x = 8,546.31 × 3,507.71
  4. Step 4: Simplify right side
    5,693.49x = 29,977,934.32
  5. Step 5: Solve for x
    x = 29,977,934.32/5,693.49
  6. Step 6: Final answer
    x = 5,265.30

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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.