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Finding the Fourth Proportional to 6,697.28, 10,046.08 and 3,943.28

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Solution

The fourth proportional to 6,697.28, 10,046.08 and 3,943.28 is: 5,915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.28 : 10,046.08 = 3,943.28 : x
  2. Step 2: Convert to fraction form
    6,697.28/10,046.08 = 3,943.28/x
  3. Step 3: Cross multiply
    6,697.28x = 10,046.08 × 3,943.28
  4. Step 4: Simplify right side
    6,697.28x = 39,614,506.34
  5. Step 5: Solve for x
    x = 39,614,506.34/6,697.28
  6. Step 6: Final answer
    x = 5,915.01

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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.