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Finding the Fourth Proportional to 8,145.98, 12,195.73 and 5,364.17

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Solution

The fourth proportional to 8,145.98, 12,195.73 and 5,364.17 is: 8,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.98 : 12,195.73 = 5,364.17 : x
  2. Step 2: Convert to fraction form
    8,145.98/12,195.73 = 5,364.17/x
  3. Step 3: Cross multiply
    8,145.98x = 12,195.73 × 5,364.17
  4. Step 4: Simplify right side
    8,145.98x = 65,420,029.06
  5. Step 5: Solve for x
    x = 65,420,029.06/8,145.98
  6. Step 6: Final answer
    x = 8,030.95

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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.