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Finding the Fourth Proportional to 7,167.50, 9,873.50 and 6,101.84

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Solution

The fourth proportional to 7,167.50, 9,873.50 and 6,101.84 is: 8,405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.50 : 9,873.50 = 6,101.84 : x
  2. Step 2: Convert to fraction form
    7,167.50/9,873.50 = 6,101.84/x
  3. Step 3: Cross multiply
    7,167.50x = 9,873.50 × 6,101.84
  4. Step 4: Simplify right side
    7,167.50x = 60,246,517.24
  5. Step 5: Solve for x
    x = 60,246,517.24/7,167.50
  6. Step 6: Final answer
    x = 8,405.51

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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.