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Finding the Fourth Proportional to 7,757, 10,704.66 and 4,398.74

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Solution

The fourth proportional to 7,757, 10,704.66 and 4,398.74 is: 6,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757 : 10,704.66 = 4,398.74 : x
  2. Step 2: Convert to fraction form
    7,757/10,704.66 = 4,398.74/x
  3. Step 3: Cross multiply
    7,757x = 10,704.66 × 4,398.74
  4. Step 4: Simplify right side
    7,757x = 47,087,016.13
  5. Step 5: Solve for x
    x = 47,087,016.13/7,757
  6. Step 6: Final answer
    x = 6,070.26

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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.