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Finding the Fourth Proportional to 27,959.25, 41,938.88 and 7,182.75

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Solution

The fourth proportional to 27,959.25, 41,938.88 and 7,182.75 is: 10,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,959.25 : 41,938.88 = 7,182.75 : x
  2. Step 2: Convert to fraction form
    27,959.25/41,938.88 = 7,182.75/x
  3. Step 3: Cross multiply
    27,959.25x = 41,938.88 × 7,182.75
  4. Step 4: Simplify right side
    27,959.25x = 301,236,454.41
  5. Step 5: Solve for x
    x = 301,236,454.41/27,959.25
  6. Step 6: Final answer
    x = 10,774.13

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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.