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Finding the Fourth Proportional to 8,014.96, 12,019.20 and 2,467

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Solution

The fourth proportional to 8,014.96, 12,019.20 and 2,467 is: 3,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.96 : 12,019.20 = 2,467 : x
  2. Step 2: Convert to fraction form
    8,014.96/12,019.20 = 2,467/x
  3. Step 3: Cross multiply
    8,014.96x = 12,019.20 × 2,467
  4. Step 4: Simplify right side
    8,014.96x = 29,651,366.40
  5. Step 5: Solve for x
    x = 29,651,366.40/8,014.96
  6. Step 6: Final answer
    x = 3,699.50

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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.