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Finding the Fourth Proportional to 6,496.71, 9,729.45 and 3,714.95

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Solution

The fourth proportional to 6,496.71, 9,729.45 and 3,714.95 is: 5,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.71 : 9,729.45 = 3,714.95 : x
  2. Step 2: Convert to fraction form
    6,496.71/9,729.45 = 3,714.95/x
  3. Step 3: Cross multiply
    6,496.71x = 9,729.45 × 3,714.95
  4. Step 4: Simplify right side
    6,496.71x = 36,144,371.63
  5. Step 5: Solve for x
    x = 36,144,371.63/6,496.71
  6. Step 6: Final answer
    x = 5,563.49

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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.