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Finding the Fourth Proportional to 11,574.41, 15,971.85 and 6,794.55

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Solution

The fourth proportional to 11,574.41, 15,971.85 and 6,794.55 is: 9,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.41 : 15,971.85 = 6,794.55 : x
  2. Step 2: Convert to fraction form
    11,574.41/15,971.85 = 6,794.55/x
  3. Step 3: Cross multiply
    11,574.41x = 15,971.85 × 6,794.55
  4. Step 4: Simplify right side
    11,574.41x = 108,521,470.54
  5. Step 5: Solve for x
    x = 108,521,470.54/11,574.41
  6. Step 6: Final answer
    x = 9,375.98

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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.