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Finding the Fourth Proportional to 6,166.20, 8,330.85 and 6,166.20

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Solution

The fourth proportional to 6,166.20, 8,330.85 and 6,166.20 is: 8,330.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.20 : 8,330.85 = 6,166.20 : x
  2. Step 2: Convert to fraction form
    6,166.20/8,330.85 = 6,166.20/x
  3. Step 3: Cross multiply
    6,166.20x = 8,330.85 × 6,166.20
  4. Step 4: Simplify right side
    6,166.20x = 51,369,687.27
  5. Step 5: Solve for x
    x = 51,369,687.27/6,166.20
  6. Step 6: Final answer
    x = 8,330.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.