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Finding the Fourth Proportional to 8,011.14, 12,024.09 and 4,065.17

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Solution

The fourth proportional to 8,011.14, 12,024.09 and 4,065.17 is: 6,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.14 : 12,024.09 = 4,065.17 : x
  2. Step 2: Convert to fraction form
    8,011.14/12,024.09 = 4,065.17/x
  3. Step 3: Cross multiply
    8,011.14x = 12,024.09 × 4,065.17
  4. Step 4: Simplify right side
    8,011.14x = 48,879,949.62
  5. Step 5: Solve for x
    x = 48,879,949.62/8,011.14
  6. Step 6: Final answer
    x = 6,101.50

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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.