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Finding the Fourth Proportional to 6,664.50, 9,197.01 and 3,720.50

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Solution

The fourth proportional to 6,664.50, 9,197.01 and 3,720.50 is: 5,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.50 : 9,197.01 = 3,720.50 : x
  2. Step 2: Convert to fraction form
    6,664.50/9,197.01 = 3,720.50/x
  3. Step 3: Cross multiply
    6,664.50x = 9,197.01 × 3,720.50
  4. Step 4: Simplify right side
    6,664.50x = 34,217,475.71
  5. Step 5: Solve for x
    x = 34,217,475.71/6,664.50
  6. Step 6: Final answer
    x = 5,134.29

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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.