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Finding the Fourth Proportional to 27,226.64, 40,829.88 and 9,691.76

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Solution

The fourth proportional to 27,226.64, 40,829.88 and 9,691.76 is: 14,534.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,226.64 : 40,829.88 = 9,691.76 : x
  2. Step 2: Convert to fraction form
    27,226.64/40,829.88 = 9,691.76/x
  3. Step 3: Cross multiply
    27,226.64x = 40,829.88 × 9,691.76
  4. Step 4: Simplify right side
    27,226.64x = 395,713,397.79
  5. Step 5: Solve for x
    x = 395,713,397.79/27,226.64
  6. Step 6: Final answer
    x = 14,534.05

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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.