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Finding the Fourth Proportional to 6,726.84, 9,282.84 and 3,742.56

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Solution

The fourth proportional to 6,726.84, 9,282.84 and 3,742.56 is: 5,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.84 : 9,282.84 = 3,742.56 : x
  2. Step 2: Convert to fraction form
    6,726.84/9,282.84 = 3,742.56/x
  3. Step 3: Cross multiply
    6,726.84x = 9,282.84 × 3,742.56
  4. Step 4: Simplify right side
    6,726.84x = 34,741,585.67
  5. Step 5: Solve for x
    x = 34,741,585.67/6,726.84
  6. Step 6: Final answer
    x = 5,164.62

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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.