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Finding the Fourth Proportional to 6,314.70, 9,472.05 and 6,205.35

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Solution

The fourth proportional to 6,314.70, 9,472.05 and 6,205.35 is: 9,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.70 : 9,472.05 = 6,205.35 : x
  2. Step 2: Convert to fraction form
    6,314.70/9,472.05 = 6,205.35/x
  3. Step 3: Cross multiply
    6,314.70x = 9,472.05 × 6,205.35
  4. Step 4: Simplify right side
    6,314.70x = 58,777,385.47
  5. Step 5: Solve for x
    x = 58,777,385.47/6,314.70
  6. Step 6: Final answer
    x = 9,308.03

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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.