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Finding the Fourth Proportional to 9,868.93, 14,806.13 and 5,489.46

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Solution

The fourth proportional to 9,868.93, 14,806.13 and 5,489.46 is: 8,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.93 : 14,806.13 = 5,489.46 : x
  2. Step 2: Convert to fraction form
    9,868.93/14,806.13 = 5,489.46/x
  3. Step 3: Cross multiply
    9,868.93x = 14,806.13 × 5,489.46
  4. Step 4: Simplify right side
    9,868.93x = 81,277,630.94
  5. Step 5: Solve for x
    x = 81,277,630.94/9,868.93
  6. Step 6: Final answer
    x = 8,235.71

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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.