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Finding the Fourth Proportional to 6,567.52, 9,062.94 and 3,583.29

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Solution

The fourth proportional to 6,567.52, 9,062.94 and 3,583.29 is: 4,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.52 : 9,062.94 = 3,583.29 : x
  2. Step 2: Convert to fraction form
    6,567.52/9,062.94 = 3,583.29/x
  3. Step 3: Cross multiply
    6,567.52x = 9,062.94 × 3,583.29
  4. Step 4: Simplify right side
    6,567.52x = 32,475,156.80
  5. Step 5: Solve for x
    x = 32,475,156.80/6,567.52
  6. Step 6: Final answer
    x = 4,944.81

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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.