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Finding the Fourth Proportional to 8,654.34, 11,949.42 and 5,301.75

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Solution

The fourth proportional to 8,654.34, 11,949.42 and 5,301.75 is: 7,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.34 : 11,949.42 = 5,301.75 : x
  2. Step 2: Convert to fraction form
    8,654.34/11,949.42 = 5,301.75/x
  3. Step 3: Cross multiply
    8,654.34x = 11,949.42 × 5,301.75
  4. Step 4: Simplify right side
    8,654.34x = 63,352,902.18
  5. Step 5: Solve for x
    x = 63,352,902.18/8,654.34
  6. Step 6: Final answer
    x = 7,320.36

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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.