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Finding the Fourth Proportional to 6,407.84, 9,608.87 and 2,708.16

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Solution

The fourth proportional to 6,407.84, 9,608.87 and 2,708.16 is: 4,061.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.84 : 9,608.87 = 2,708.16 : x
  2. Step 2: Convert to fraction form
    6,407.84/9,608.87 = 2,708.16/x
  3. Step 3: Cross multiply
    6,407.84x = 9,608.87 × 2,708.16
  4. Step 4: Simplify right side
    6,407.84x = 26,022,357.38
  5. Step 5: Solve for x
    x = 26,022,357.38/6,407.84
  6. Step 6: Final answer
    x = 4,061.02

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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.