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Finding the Fourth Proportional to 10,029.96, 13,841.10 and 5,553.63

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Solution

The fourth proportional to 10,029.96, 13,841.10 and 5,553.63 is: 7,663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.96 : 13,841.10 = 5,553.63 : x
  2. Step 2: Convert to fraction form
    10,029.96/13,841.10 = 5,553.63/x
  3. Step 3: Cross multiply
    10,029.96x = 13,841.10 × 5,553.63
  4. Step 4: Simplify right side
    10,029.96x = 76,868,348.19
  5. Step 5: Solve for x
    x = 76,868,348.19/10,029.96
  6. Step 6: Final answer
    x = 7,663.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.