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Finding the Fourth Proportional to 27,587.78, 41,374.38 and 7,867.46

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Solution

The fourth proportional to 27,587.78, 41,374.38 and 7,867.46 is: 11,799.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,587.78 : 41,374.38 = 7,867.46 : x
  2. Step 2: Convert to fraction form
    27,587.78/41,374.38 = 7,867.46/x
  3. Step 3: Cross multiply
    27,587.78x = 41,374.38 × 7,867.46
  4. Step 4: Simplify right side
    27,587.78x = 325,511,279.67
  5. Step 5: Solve for x
    x = 325,511,279.67/27,587.78
  6. Step 6: Final answer
    x = 11,799.11

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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.