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Finding the Fourth Proportional to 6,996, 10,495.62 and 5,044.71

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Solution

The fourth proportional to 6,996, 10,495.62 and 5,044.71 is: 7,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996 : 10,495.62 = 5,044.71 : x
  2. Step 2: Convert to fraction form
    6,996/10,495.62 = 5,044.71/x
  3. Step 3: Cross multiply
    6,996x = 10,495.62 × 5,044.71
  4. Step 4: Simplify right side
    6,996x = 52,947,359.17
  5. Step 5: Solve for x
    x = 52,947,359.17/6,996
  6. Step 6: Final answer
    x = 7,568.23

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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.