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Finding the Fourth Proportional to 10,113, 15,171.74 and 4,274.60

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Solution

The fourth proportional to 10,113, 15,171.74 and 4,274.60 is: 6,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113 : 15,171.74 = 4,274.60 : x
  2. Step 2: Convert to fraction form
    10,113/15,171.74 = 4,274.60/x
  3. Step 3: Cross multiply
    10,113x = 15,171.74 × 4,274.60
  4. Step 4: Simplify right side
    10,113x = 64,853,119.80
  5. Step 5: Solve for x
    x = 64,853,119.80/10,113
  6. Step 6: Final answer
    x = 6,412.85

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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.