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Finding the Fourth Proportional to 9,399.68, 12,964.06 and 6,042.84

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Solution

The fourth proportional to 9,399.68, 12,964.06 and 6,042.84 is: 8,334.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.68 : 12,964.06 = 6,042.84 : x
  2. Step 2: Convert to fraction form
    9,399.68/12,964.06 = 6,042.84/x
  3. Step 3: Cross multiply
    9,399.68x = 12,964.06 × 6,042.84
  4. Step 4: Simplify right side
    9,399.68x = 78,339,740.33
  5. Step 5: Solve for x
    x = 78,339,740.33/9,399.68
  6. Step 6: Final answer
    x = 8,334.30

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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.