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Finding the Fourth Proportional to 9,049.57, 12,496.02 and 6,807.56

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Solution

The fourth proportional to 9,049.57, 12,496.02 and 6,807.56 is: 9,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.57 : 12,496.02 = 6,807.56 : x
  2. Step 2: Convert to fraction form
    9,049.57/12,496.02 = 6,807.56/x
  3. Step 3: Cross multiply
    9,049.57x = 12,496.02 × 6,807.56
  4. Step 4: Simplify right side
    9,049.57x = 85,067,405.91
  5. Step 5: Solve for x
    x = 85,067,405.91/9,049.57
  6. Step 6: Final answer
    x = 9,400.16

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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.