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Finding the Fourth Proportional to 9,227.84, 13,843.95 and 2,987.85

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Solution

The fourth proportional to 9,227.84, 13,843.95 and 2,987.85 is: 4,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.84 : 13,843.95 = 2,987.85 : x
  2. Step 2: Convert to fraction form
    9,227.84/13,843.95 = 2,987.85/x
  3. Step 3: Cross multiply
    9,227.84x = 13,843.95 × 2,987.85
  4. Step 4: Simplify right side
    9,227.84x = 41,363,631.07
  5. Step 5: Solve for x
    x = 41,363,631.07/9,227.84
  6. Step 6: Final answer
    x = 4,482.48

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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.