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Finding the Fourth Proportional to 27,774.60, 41,661.90 and 9,306.60

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Solution

The fourth proportional to 27,774.60, 41,661.90 and 9,306.60 is: 13,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.60 : 41,661.90 = 9,306.60 : x
  2. Step 2: Convert to fraction form
    27,774.60/41,661.90 = 9,306.60/x
  3. Step 3: Cross multiply
    27,774.60x = 41,661.90 × 9,306.60
  4. Step 4: Simplify right side
    27,774.60x = 387,730,638.54
  5. Step 5: Solve for x
    x = 387,730,638.54/27,774.60
  6. Step 6: Final answer
    x = 13,959.90

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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.