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Finding the Fourth Proportional to 6,567, 9,062.46 and 4,474.77

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Solution

The fourth proportional to 6,567, 9,062.46 and 4,474.77 is: 6,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567 : 9,062.46 = 4,474.77 : x
  2. Step 2: Convert to fraction form
    6,567/9,062.46 = 4,474.77/x
  3. Step 3: Cross multiply
    6,567x = 9,062.46 × 4,474.77
  4. Step 4: Simplify right side
    6,567x = 40,552,424.13
  5. Step 5: Solve for x
    x = 40,552,424.13/6,567
  6. Step 6: Final answer
    x = 6,175.18

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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.