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Finding the Fourth Proportional to 6,661.68, 9,984.54 and 2,959.74

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Solution

The fourth proportional to 6,661.68, 9,984.54 and 2,959.74 is: 4,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.68 : 9,984.54 = 2,959.74 : x
  2. Step 2: Convert to fraction form
    6,661.68/9,984.54 = 2,959.74/x
  3. Step 3: Cross multiply
    6,661.68x = 9,984.54 × 2,959.74
  4. Step 4: Simplify right side
    6,661.68x = 29,551,642.42
  5. Step 5: Solve for x
    x = 29,551,642.42/6,661.68
  6. Step 6: Final answer
    x = 4,436.06

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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.