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Finding the Fourth Proportional to 10,093.96, 15,142.46 and 3,169

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Solution

The fourth proportional to 10,093.96, 15,142.46 and 3,169 is: 4,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.96 : 15,142.46 = 3,169 : x
  2. Step 2: Convert to fraction form
    10,093.96/15,142.46 = 3,169/x
  3. Step 3: Cross multiply
    10,093.96x = 15,142.46 × 3,169
  4. Step 4: Simplify right side
    10,093.96x = 47,986,455.74
  5. Step 5: Solve for x
    x = 47,986,455.74/10,093.96
  6. Step 6: Final answer
    x = 4,753.98

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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.