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Finding the Fourth Proportional to 11,937.65, 16,474.03 and 6,560.03

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Solution

The fourth proportional to 11,937.65, 16,474.03 and 6,560.03 is: 9,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.65 : 16,474.03 = 6,560.03 : x
  2. Step 2: Convert to fraction form
    11,937.65/16,474.03 = 6,560.03/x
  3. Step 3: Cross multiply
    11,937.65x = 16,474.03 × 6,560.03
  4. Step 4: Simplify right side
    11,937.65x = 108,070,131.02
  5. Step 5: Solve for x
    x = 108,070,131.02/11,937.65
  6. Step 6: Final answer
    x = 9,052.88

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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.