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Finding the Fourth Proportional to 7,002, 10,499.60 and 3,301.12

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Solution

The fourth proportional to 7,002, 10,499.60 and 3,301.12 is: 4,950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002 : 10,499.60 = 3,301.12 : x
  2. Step 2: Convert to fraction form
    7,002/10,499.60 = 3,301.12/x
  3. Step 3: Cross multiply
    7,002x = 10,499.60 × 3,301.12
  4. Step 4: Simplify right side
    7,002x = 34,660,439.55
  5. Step 5: Solve for x
    x = 34,660,439.55/7,002
  6. Step 6: Final answer
    x = 4,950.08

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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.