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Finding the Fourth Proportional to 9,778.78, 14,672.22 and 4,231.09

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Solution

The fourth proportional to 9,778.78, 14,672.22 and 4,231.09 is: 6,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.78 : 14,672.22 = 4,231.09 : x
  2. Step 2: Convert to fraction form
    9,778.78/14,672.22 = 4,231.09/x
  3. Step 3: Cross multiply
    9,778.78x = 14,672.22 × 4,231.09
  4. Step 4: Simplify right side
    9,778.78x = 62,079,483.32
  5. Step 5: Solve for x
    x = 62,079,483.32/9,778.78
  6. Step 6: Final answer
    x = 6,348.39

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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.