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Finding the Fourth Proportional to 7,002, 10,495.68 and 3,714.18

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Solution

The fourth proportional to 7,002, 10,495.68 and 3,714.18 is: 5,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002 : 10,495.68 = 3,714.18 : x
  2. Step 2: Convert to fraction form
    7,002/10,495.68 = 3,714.18/x
  3. Step 3: Cross multiply
    7,002x = 10,495.68 × 3,714.18
  4. Step 4: Simplify right side
    7,002x = 38,982,844.74
  5. Step 5: Solve for x
    x = 38,982,844.74/7,002
  6. Step 6: Final answer
    x = 5,567.39

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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.