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Finding the Fourth Proportional to 6,497.35, 9,748.28 and 2,114.78

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Solution

The fourth proportional to 6,497.35, 9,748.28 and 2,114.78 is: 3,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.35 : 9,748.28 = 2,114.78 : x
  2. Step 2: Convert to fraction form
    6,497.35/9,748.28 = 2,114.78/x
  3. Step 3: Cross multiply
    6,497.35x = 9,748.28 × 2,114.78
  4. Step 4: Simplify right side
    6,497.35x = 20,615,424.12
  5. Step 5: Solve for x
    x = 20,615,424.12/6,497.35
  6. Step 6: Final answer
    x = 3,172.90

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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.