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Finding the Fourth Proportional to 4,069.52, 6,104.24 and 991.52

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Solution

The fourth proportional to 4,069.52, 6,104.24 and 991.52 is: 1,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.52 : 6,104.24 = 991.52 : x
  2. Step 2: Convert to fraction form
    4,069.52/6,104.24 = 991.52/x
  3. Step 3: Cross multiply
    4,069.52x = 6,104.24 × 991.52
  4. Step 4: Simplify right side
    4,069.52x = 6,052,476.04
  5. Step 5: Solve for x
    x = 6,052,476.04/4,069.52
  6. Step 6: Final answer
    x = 1,487.27

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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.