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Finding the Fourth Proportional to 6,956.75, 9,594.72 and 6,115.66

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Solution

The fourth proportional to 6,956.75, 9,594.72 and 6,115.66 is: 8,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.75 : 9,594.72 = 6,115.66 : x
  2. Step 2: Convert to fraction form
    6,956.75/9,594.72 = 6,115.66/x
  3. Step 3: Cross multiply
    6,956.75x = 9,594.72 × 6,115.66
  4. Step 4: Simplify right side
    6,956.75x = 58,678,021.33
  5. Step 5: Solve for x
    x = 58,678,021.33/6,956.75
  6. Step 6: Final answer
    x = 8,434.69

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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.