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Finding the Fourth Proportional to 6,862.55, 10,287.74 and 2,965.64

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Solution

The fourth proportional to 6,862.55, 10,287.74 and 2,965.64 is: 4,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.55 : 10,287.74 = 2,965.64 : x
  2. Step 2: Convert to fraction form
    6,862.55/10,287.74 = 2,965.64/x
  3. Step 3: Cross multiply
    6,862.55x = 10,287.74 × 2,965.64
  4. Step 4: Simplify right side
    6,862.55x = 30,509,689.23
  5. Step 5: Solve for x
    x = 30,509,689.23/6,862.55
  6. Step 6: Final answer
    x = 4,445.83

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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.