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Finding the Fourth Proportional to 27,257.92, 40,886.88 and 11,665.44

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Solution

The fourth proportional to 27,257.92, 40,886.88 and 11,665.44 is: 17,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,257.92 : 40,886.88 = 11,665.44 : x
  2. Step 2: Convert to fraction form
    27,257.92/40,886.88 = 11,665.44/x
  3. Step 3: Cross multiply
    27,257.92x = 40,886.88 × 11,665.44
  4. Step 4: Simplify right side
    27,257.92x = 476,963,445.43
  5. Step 5: Solve for x
    x = 476,963,445.43/27,257.92
  6. Step 6: Final answer
    x = 17,498.16

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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.