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Finding the Fourth Proportional to 9,806.97, 14,711.21 and 5,884.95

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Solution

The fourth proportional to 9,806.97, 14,711.21 and 5,884.95 is: 8,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.97 : 14,711.21 = 5,884.95 : x
  2. Step 2: Convert to fraction form
    9,806.97/14,711.21 = 5,884.95/x
  3. Step 3: Cross multiply
    9,806.97x = 14,711.21 × 5,884.95
  4. Step 4: Simplify right side
    9,806.97x = 86,574,705.86
  5. Step 5: Solve for x
    x = 86,574,705.86/9,806.97
  6. Step 6: Final answer
    x = 8,827.88

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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.