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Finding the Fourth Proportional to 5,967.52, 8,949.92 and 2,270.16

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Solution

The fourth proportional to 5,967.52, 8,949.92 and 2,270.16 is: 3,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.52 : 8,949.92 = 2,270.16 : x
  2. Step 2: Convert to fraction form
    5,967.52/8,949.92 = 2,270.16/x
  3. Step 3: Cross multiply
    5,967.52x = 8,949.92 × 2,270.16
  4. Step 4: Simplify right side
    5,967.52x = 20,317,750.39
  5. Step 5: Solve for x
    x = 20,317,750.39/5,967.52
  6. Step 6: Final answer
    x = 3,404.72

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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.