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Finding the Fourth Proportional to 10,114.50, 15,174.31 and 2,818.50

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Solution

The fourth proportional to 10,114.50, 15,174.31 and 2,818.50 is: 4,228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.50 : 15,174.31 = 2,818.50 : x
  2. Step 2: Convert to fraction form
    10,114.50/15,174.31 = 2,818.50/x
  3. Step 3: Cross multiply
    10,114.50x = 15,174.31 × 2,818.50
  4. Step 4: Simplify right side
    10,114.50x = 42,768,792.74
  5. Step 5: Solve for x
    x = 42,768,792.74/10,114.50
  6. Step 6: Final answer
    x = 4,228.46

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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.