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Finding the Fourth Proportional to 9,797.71, 13,519.26 and 6,019.66

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Solution

The fourth proportional to 9,797.71, 13,519.26 and 6,019.66 is: 8,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.71 : 13,519.26 = 6,019.66 : x
  2. Step 2: Convert to fraction form
    9,797.71/13,519.26 = 6,019.66/x
  3. Step 3: Cross multiply
    9,797.71x = 13,519.26 × 6,019.66
  4. Step 4: Simplify right side
    9,797.71x = 81,381,348.65
  5. Step 5: Solve for x
    x = 81,381,348.65/9,797.71
  6. Step 6: Final answer
    x = 8,306.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.