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Finding the Fourth Proportional to 5,004.66, 6,906.42 and 2,766.42

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Solution

The fourth proportional to 5,004.66, 6,906.42 and 2,766.42 is: 3,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004.66 : 6,906.42 = 2,766.42 : x
  2. Step 2: Convert to fraction form
    5,004.66/6,906.42 = 2,766.42/x
  3. Step 3: Cross multiply
    5,004.66x = 6,906.42 × 2,766.42
  4. Step 4: Simplify right side
    5,004.66x = 19,106,058.42
  5. Step 5: Solve for x
    x = 19,106,058.42/5,004.66
  6. Step 6: Final answer
    x = 3,817.65

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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.