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Finding the Fourth Proportional to 6,862.58, 10,287.69 and 3,162.90

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Solution

The fourth proportional to 6,862.58, 10,287.69 and 3,162.90 is: 4,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,862.58 : 10,287.69 = 3,162.90 : x
  2. Step 2: Convert to fraction form
    6,862.58/10,287.69 = 3,162.90/x
  3. Step 3: Cross multiply
    6,862.58x = 10,287.69 × 3,162.90
  4. Step 4: Simplify right side
    6,862.58x = 32,538,934.70
  5. Step 5: Solve for x
    x = 32,538,934.70/6,862.58
  6. Step 6: Final answer
    x = 4,741.50

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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.