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Finding the Fourth Proportional to 7,002, 10,501.92 and 2,324.04

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Solution

The fourth proportional to 7,002, 10,501.92 and 2,324.04 is: 3,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002 : 10,501.92 = 2,324.04 : x
  2. Step 2: Convert to fraction form
    7,002/10,501.92 = 2,324.04/x
  3. Step 3: Cross multiply
    7,002x = 10,501.92 × 2,324.04
  4. Step 4: Simplify right side
    7,002x = 24,406,882.16
  5. Step 5: Solve for x
    x = 24,406,882.16/7,002
  6. Step 6: Final answer
    x = 3,485.70

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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.