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Finding the Fourth Proportional to 6,133.12, 9,200.86 and 1,974.17

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Solution

The fourth proportional to 6,133.12, 9,200.86 and 1,974.17 is: 2,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.12 : 9,200.86 = 1,974.17 : x
  2. Step 2: Convert to fraction form
    6,133.12/9,200.86 = 1,974.17/x
  3. Step 3: Cross multiply
    6,133.12x = 9,200.86 × 1,974.17
  4. Step 4: Simplify right side
    6,133.12x = 18,164,079.85
  5. Step 5: Solve for x
    x = 18,164,079.85/6,133.12
  6. Step 6: Final answer
    x = 2,961.64

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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.