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Finding the Fourth Proportional to 8,166.85, 11,269.08 and 4,629.38

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Solution

The fourth proportional to 8,166.85, 11,269.08 and 4,629.38 is: 6,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.85 : 11,269.08 = 4,629.38 : x
  2. Step 2: Convert to fraction form
    8,166.85/11,269.08 = 4,629.38/x
  3. Step 3: Cross multiply
    8,166.85x = 11,269.08 × 4,629.38
  4. Step 4: Simplify right side
    8,166.85x = 52,168,797.23
  5. Step 5: Solve for x
    x = 52,168,797.23/8,166.85
  6. Step 6: Final answer
    x = 6,387.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.