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Finding the Fourth Proportional to 8,052.30, 12,078.45 and 7,922.70

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Solution

The fourth proportional to 8,052.30, 12,078.45 and 7,922.70 is: 11,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.30 : 12,078.45 = 7,922.70 : x
  2. Step 2: Convert to fraction form
    8,052.30/12,078.45 = 7,922.70/x
  3. Step 3: Cross multiply
    8,052.30x = 12,078.45 × 7,922.70
  4. Step 4: Simplify right side
    8,052.30x = 95,693,935.82
  5. Step 5: Solve for x
    x = 95,693,935.82/8,052.30
  6. Step 6: Final answer
    x = 11,884.05

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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.