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Finding the Fourth Proportional to 6,270.70, 9,406.05 and 6,205.90

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Solution

The fourth proportional to 6,270.70, 9,406.05 and 6,205.90 is: 9,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.70 : 9,406.05 = 6,205.90 : x
  2. Step 2: Convert to fraction form
    6,270.70/9,406.05 = 6,205.90/x
  3. Step 3: Cross multiply
    6,270.70x = 9,406.05 × 6,205.90
  4. Step 4: Simplify right side
    6,270.70x = 58,373,005.70
  5. Step 5: Solve for x
    x = 58,373,005.70/6,270.70
  6. Step 6: Final answer
    x = 9,308.85

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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.