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Finding the Fourth Proportional to 9,894.27, 14,822.19 and 8,842.71

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Solution

The fourth proportional to 9,894.27, 14,822.19 and 8,842.71 is: 13,246.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.27 : 14,822.19 = 8,842.71 : x
  2. Step 2: Convert to fraction form
    9,894.27/14,822.19 = 8,842.71/x
  3. Step 3: Cross multiply
    9,894.27x = 14,822.19 × 8,842.71
  4. Step 4: Simplify right side
    9,894.27x = 131,068,327.73
  5. Step 5: Solve for x
    x = 131,068,327.73/9,894.27
  6. Step 6: Final answer
    x = 13,246.89

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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.