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Finding the Fourth Proportional to 7,843.78, 11,766.98 and 2,648.44

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Solution

The fourth proportional to 7,843.78, 11,766.98 and 2,648.44 is: 3,973.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.78 : 11,766.98 = 2,648.44 : x
  2. Step 2: Convert to fraction form
    7,843.78/11,766.98 = 2,648.44/x
  3. Step 3: Cross multiply
    7,843.78x = 11,766.98 × 2,648.44
  4. Step 4: Simplify right side
    7,843.78x = 31,164,117.71
  5. Step 5: Solve for x
    x = 31,164,117.71/7,843.78
  6. Step 6: Final answer
    x = 3,973.10

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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.