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Finding the Fourth Proportional to 6,343.99, 9,510.32 and 4,949.71

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Solution

The fourth proportional to 6,343.99, 9,510.32 and 4,949.71 is: 7,420.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.99 : 9,510.32 = 4,949.71 : x
  2. Step 2: Convert to fraction form
    6,343.99/9,510.32 = 4,949.71/x
  3. Step 3: Cross multiply
    6,343.99x = 9,510.32 × 4,949.71
  4. Step 4: Simplify right side
    6,343.99x = 47,073,301.26
  5. Step 5: Solve for x
    x = 47,073,301.26/6,343.99
  6. Step 6: Final answer
    x = 7,420.14

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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.