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Finding the Fourth Proportional to 6,754.68, 10,132.02 and 2,074.68

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Solution

The fourth proportional to 6,754.68, 10,132.02 and 2,074.68 is: 3,112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.68 : 10,132.02 = 2,074.68 : x
  2. Step 2: Convert to fraction form
    6,754.68/10,132.02 = 2,074.68/x
  3. Step 3: Cross multiply
    6,754.68x = 10,132.02 × 2,074.68
  4. Step 4: Simplify right side
    6,754.68x = 21,020,699.25
  5. Step 5: Solve for x
    x = 21,020,699.25/6,754.68
  6. Step 6: Final answer
    x = 3,112.02

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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.