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Finding the Fourth Proportional to 27,853.68, 41,780.64 and 9,398.64

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Solution

The fourth proportional to 27,853.68, 41,780.64 and 9,398.64 is: 14,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,853.68 : 41,780.64 = 9,398.64 : x
  2. Step 2: Convert to fraction form
    27,853.68/41,780.64 = 9,398.64/x
  3. Step 3: Cross multiply
    27,853.68x = 41,780.64 × 9,398.64
  4. Step 4: Simplify right side
    27,853.68x = 392,681,194.33
  5. Step 5: Solve for x
    x = 392,681,194.33/27,853.68
  6. Step 6: Final answer
    x = 14,098.00

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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.