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Finding the Fourth Proportional to 6,729.68, 10,096.68 and 2,569.52

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Solution

The fourth proportional to 6,729.68, 10,096.68 and 2,569.52 is: 3,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.68 : 10,096.68 = 2,569.52 : x
  2. Step 2: Convert to fraction form
    6,729.68/10,096.68 = 2,569.52/x
  3. Step 3: Cross multiply
    6,729.68x = 10,096.68 × 2,569.52
  4. Step 4: Simplify right side
    6,729.68x = 25,943,621.19
  5. Step 5: Solve for x
    x = 25,943,621.19/6,729.68
  6. Step 6: Final answer
    x = 3,855.10

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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.