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Finding the Fourth Proportional to 5,687.16, 7,844.04 and 5,049.87

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Solution

The fourth proportional to 5,687.16, 7,844.04 and 5,049.87 is: 6,965.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.16 : 7,844.04 = 5,049.87 : x
  2. Step 2: Convert to fraction form
    5,687.16/7,844.04 = 5,049.87/x
  3. Step 3: Cross multiply
    5,687.16x = 7,844.04 × 5,049.87
  4. Step 4: Simplify right side
    5,687.16x = 39,611,382.27
  5. Step 5: Solve for x
    x = 39,611,382.27/5,687.16
  6. Step 6: Final answer
    x = 6,965.06

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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.