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Finding the Fourth Proportional to 11,841.72, 17,770.50 and 4,916.22

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Solution

The fourth proportional to 11,841.72, 17,770.50 and 4,916.22 is: 7,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.72 : 17,770.50 = 4,916.22 : x
  2. Step 2: Convert to fraction form
    11,841.72/17,770.50 = 4,916.22/x
  3. Step 3: Cross multiply
    11,841.72x = 17,770.50 × 4,916.22
  4. Step 4: Simplify right side
    11,841.72x = 87,363,687.51
  5. Step 5: Solve for x
    x = 87,363,687.51/11,841.72
  6. Step 6: Final answer
    x = 7,377.62

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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.