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Finding the Fourth Proportional to 9,084.78, 13,626.78 and 2,844.65

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Solution

The fourth proportional to 9,084.78, 13,626.78 and 2,844.65 is: 4,266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.78 : 13,626.78 = 2,844.65 : x
  2. Step 2: Convert to fraction form
    9,084.78/13,626.78 = 2,844.65/x
  3. Step 3: Cross multiply
    9,084.78x = 13,626.78 × 2,844.65
  4. Step 4: Simplify right side
    9,084.78x = 38,763,417.58
  5. Step 5: Solve for x
    x = 38,763,417.58/9,084.78
  6. Step 6: Final answer
    x = 4,266.85

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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.