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Finding the Fourth Proportional to 6,410.97, 9,616.46 and 2,516.13

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Solution

The fourth proportional to 6,410.97, 9,616.46 and 2,516.13 is: 3,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.97 : 9,616.46 = 2,516.13 : x
  2. Step 2: Convert to fraction form
    6,410.97/9,616.46 = 2,516.13/x
  3. Step 3: Cross multiply
    6,410.97x = 9,616.46 × 2,516.13
  4. Step 4: Simplify right side
    6,410.97x = 24,196,250.92
  5. Step 5: Solve for x
    x = 24,196,250.92/6,410.97
  6. Step 6: Final answer
    x = 3,774.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.