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Finding the Fourth Proportional to 22,841.96, 34,263.90 and 11,165

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Solution

The fourth proportional to 22,841.96, 34,263.90 and 11,165 is: 16,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,841.96 : 34,263.90 = 11,165 : x
  2. Step 2: Convert to fraction form
    22,841.96/34,263.90 = 11,165/x
  3. Step 3: Cross multiply
    22,841.96x = 34,263.90 × 11,165
  4. Step 4: Simplify right side
    22,841.96x = 382,556,443.50
  5. Step 5: Solve for x
    x = 382,556,443.50/22,841.96
  6. Step 6: Final answer
    x = 16,747.97

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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.