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Finding the Fourth Proportional to 5,616.97, 7,751.07 and 3,099.10

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Solution

The fourth proportional to 5,616.97, 7,751.07 and 3,099.10 is: 4,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,616.97 : 7,751.07 = 3,099.10 : x
  2. Step 2: Convert to fraction form
    5,616.97/7,751.07 = 3,099.10/x
  3. Step 3: Cross multiply
    5,616.97x = 7,751.07 × 3,099.10
  4. Step 4: Simplify right side
    5,616.97x = 24,021,341.04
  5. Step 5: Solve for x
    x = 24,021,341.04/5,616.97
  6. Step 6: Final answer
    x = 4,276.57

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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.