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Finding the Fourth Proportional to 10,269.76, 15,404.62 and 4,113.76

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Solution

The fourth proportional to 10,269.76, 15,404.62 and 4,113.76 is: 6,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.76 : 15,404.62 = 4,113.76 : x
  2. Step 2: Convert to fraction form
    10,269.76/15,404.62 = 4,113.76/x
  3. Step 3: Cross multiply
    10,269.76x = 15,404.62 × 4,113.76
  4. Step 4: Simplify right side
    10,269.76x = 63,370,909.57
  5. Step 5: Solve for x
    x = 63,370,909.57/10,269.76
  6. Step 6: Final answer
    x = 6,170.63

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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.