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Finding the Fourth Proportional to 27,214.80, 40,825.92 and 9,680.40

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Solution

The fourth proportional to 27,214.80, 40,825.92 and 9,680.40 is: 14,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.80 : 40,825.92 = 9,680.40 : x
  2. Step 2: Convert to fraction form
    27,214.80/40,825.92 = 9,680.40/x
  3. Step 3: Cross multiply
    27,214.80x = 40,825.92 × 9,680.40
  4. Step 4: Simplify right side
    27,214.80x = 395,211,235.97
  5. Step 5: Solve for x
    x = 395,211,235.97/27,214.80
  6. Step 6: Final answer
    x = 14,521.92

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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.