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Finding the Fourth Proportional to 8,993.22, 12,406.23 and 6,009.78

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Solution

The fourth proportional to 8,993.22, 12,406.23 and 6,009.78 is: 8,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.22 : 12,406.23 = 6,009.78 : x
  2. Step 2: Convert to fraction form
    8,993.22/12,406.23 = 6,009.78/x
  3. Step 3: Cross multiply
    8,993.22x = 12,406.23 × 6,009.78
  4. Step 4: Simplify right side
    8,993.22x = 74,558,712.93
  5. Step 5: Solve for x
    x = 74,558,712.93/8,993.22
  6. Step 6: Final answer
    x = 8,290.55

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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.