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Finding the Fourth Proportional to 6,956.69, 9,594.64 and 6,115.60

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Solution

The fourth proportional to 6,956.69, 9,594.64 and 6,115.60 is: 8,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.69 : 9,594.64 = 6,115.60 : x
  2. Step 2: Convert to fraction form
    6,956.69/9,594.64 = 6,115.60/x
  3. Step 3: Cross multiply
    6,956.69x = 9,594.64 × 6,115.60
  4. Step 4: Simplify right side
    6,956.69x = 58,676,980.38
  5. Step 5: Solve for x
    x = 58,676,980.38/6,956.69
  6. Step 6: Final answer
    x = 8,434.61

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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.