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Finding the Fourth Proportional to 5,616.71, 7,750.86 and 3,098.87

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Solution

The fourth proportional to 5,616.71, 7,750.86 and 3,098.87 is: 4,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.71 : 7,750.86 = 3,098.87 : x
  2. Step 2: Convert to fraction form
    5,616.71/7,750.86 = 3,098.87/x
  3. Step 3: Cross multiply
    5,616.71x = 7,750.86 × 3,098.87
  4. Step 4: Simplify right side
    5,616.71x = 24,018,868.77
  5. Step 5: Solve for x
    x = 24,018,868.77/5,616.71
  6. Step 6: Final answer
    x = 4,276.33

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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.