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Finding the Fourth Proportional to 9,169.74, 12,654.42 and 5,985.07

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Solution

The fourth proportional to 9,169.74, 12,654.42 and 5,985.07 is: 8,259.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.74 : 12,654.42 = 5,985.07 : x
  2. Step 2: Convert to fraction form
    9,169.74/12,654.42 = 5,985.07/x
  3. Step 3: Cross multiply
    9,169.74x = 12,654.42 × 5,985.07
  4. Step 4: Simplify right side
    9,169.74x = 75,737,589.51
  5. Step 5: Solve for x
    x = 75,737,589.51/9,169.74
  6. Step 6: Final answer
    x = 8,259.51

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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.