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Finding the Fourth Proportional to 7,149.48, 10,724.22 and 4,065

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Solution

The fourth proportional to 7,149.48, 10,724.22 and 4,065 is: 6,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.48 : 10,724.22 = 4,065 : x
  2. Step 2: Convert to fraction form
    7,149.48/10,724.22 = 4,065/x
  3. Step 3: Cross multiply
    7,149.48x = 10,724.22 × 4,065
  4. Step 4: Simplify right side
    7,149.48x = 43,593,954.30
  5. Step 5: Solve for x
    x = 43,593,954.30/7,149.48
  6. Step 6: Final answer
    x = 6,097.50

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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.