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Finding the Fourth Proportional to 12,002.75, 16,560.96 and 6,964.04

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Solution

The fourth proportional to 12,002.75, 16,560.96 and 6,964.04 is: 9,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.75 : 16,560.96 = 6,964.04 : x
  2. Step 2: Convert to fraction form
    12,002.75/16,560.96 = 6,964.04/x
  3. Step 3: Cross multiply
    12,002.75x = 16,560.96 × 6,964.04
  4. Step 4: Simplify right side
    12,002.75x = 115,331,203.17
  5. Step 5: Solve for x
    x = 115,331,203.17/12,002.75
  6. Step 6: Final answer
    x = 9,608.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.