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Finding the Fourth Proportional to 6,069.74, 9,103.60 and 1,687.64

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Solution

The fourth proportional to 6,069.74, 9,103.60 and 1,687.64 is: 2,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.74 : 9,103.60 = 1,687.64 : x
  2. Step 2: Convert to fraction form
    6,069.74/9,103.60 = 1,687.64/x
  3. Step 3: Cross multiply
    6,069.74x = 9,103.60 × 1,687.64
  4. Step 4: Simplify right side
    6,069.74x = 15,363,599.50
  5. Step 5: Solve for x
    x = 15,363,599.50/6,069.74
  6. Step 6: Final answer
    x = 2,531.18

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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.