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Finding the Fourth Proportional to 4,959.97, 7,433.07 and 2,182.48

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Solution

The fourth proportional to 4,959.97, 7,433.07 and 2,182.48 is: 3,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.97 : 7,433.07 = 2,182.48 : x
  2. Step 2: Convert to fraction form
    4,959.97/7,433.07 = 2,182.48/x
  3. Step 3: Cross multiply
    4,959.97x = 7,433.07 × 2,182.48
  4. Step 4: Simplify right side
    4,959.97x = 16,222,526.61
  5. Step 5: Solve for x
    x = 16,222,526.61/4,959.97
  6. Step 6: Final answer
    x = 3,270.69

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1.5x scale

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.