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Finding the Fourth Proportional to 6,196.70, 9,305.85 and 6,002.30

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Solution

The fourth proportional to 6,196.70, 9,305.85 and 6,002.30 is: 9,013.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.70 : 9,305.85 = 6,002.30 : x
  2. Step 2: Convert to fraction form
    6,196.70/9,305.85 = 6,002.30/x
  3. Step 3: Cross multiply
    6,196.70x = 9,305.85 × 6,002.30
  4. Step 4: Simplify right side
    6,196.70x = 55,856,503.46
  5. Step 5: Solve for x
    x = 55,856,503.46/6,196.70
  6. Step 6: Final answer
    x = 9,013.91

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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.