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Finding the Fourth Proportional to 6,397.06, 9,585.06 and 5,566

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Solution

The fourth proportional to 6,397.06, 9,585.06 and 5,566 is: 8,339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.06 : 9,585.06 = 5,566 : x
  2. Step 2: Convert to fraction form
    6,397.06/9,585.06 = 5,566/x
  3. Step 3: Cross multiply
    6,397.06x = 9,585.06 × 5,566
  4. Step 4: Simplify right side
    6,397.06x = 53,350,443.96
  5. Step 5: Solve for x
    x = 53,350,443.96/6,397.06
  6. Step 6: Final answer
    x = 8,339.84

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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.