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Finding the Fourth Proportional to 8,095.14, 12,149.94 and 4,149.08

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Solution

The fourth proportional to 8,095.14, 12,149.94 and 4,149.08 is: 6,227.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.14 : 12,149.94 = 4,149.08 : x
  2. Step 2: Convert to fraction form
    8,095.14/12,149.94 = 4,149.08/x
  3. Step 3: Cross multiply
    8,095.14x = 12,149.94 × 4,149.08
  4. Step 4: Simplify right side
    8,095.14x = 50,411,073.06
  5. Step 5: Solve for x
    x = 50,411,073.06/8,095.14
  6. Step 6: Final answer
    x = 6,227.33

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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.