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Finding the Fourth Proportional to 9,182.84, 13,773.95 and 3,988.71

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Solution

The fourth proportional to 9,182.84, 13,773.95 and 3,988.71 is: 5,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.84 : 13,773.95 = 3,988.71 : x
  2. Step 2: Convert to fraction form
    9,182.84/13,773.95 = 3,988.71/x
  3. Step 3: Cross multiply
    9,182.84x = 13,773.95 × 3,988.71
  4. Step 4: Simplify right side
    9,182.84x = 54,940,287.12
  5. Step 5: Solve for x
    x = 54,940,287.12/9,182.84
  6. Step 6: Final answer
    x = 5,982.93

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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.