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Finding the Fourth Proportional to 8,130.17, 12,195.60 and 3,965.22

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Solution

The fourth proportional to 8,130.17, 12,195.60 and 3,965.22 is: 5,947.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.17 : 12,195.60 = 3,965.22 : x
  2. Step 2: Convert to fraction form
    8,130.17/12,195.60 = 3,965.22/x
  3. Step 3: Cross multiply
    8,130.17x = 12,195.60 × 3,965.22
  4. Step 4: Simplify right side
    8,130.17x = 48,358,222.16
  5. Step 5: Solve for x
    x = 48,358,222.16/8,130.17
  6. Step 6: Final answer
    x = 5,947.99

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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.