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Finding the Fourth Proportional to 11,571.74, 15,969 and 6,266.56

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Solution

The fourth proportional to 11,571.74, 15,969 and 6,266.56 is: 8,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.74 : 15,969 = 6,266.56 : x
  2. Step 2: Convert to fraction form
    11,571.74/15,969 = 6,266.56/x
  3. Step 3: Cross multiply
    11,571.74x = 15,969 × 6,266.56
  4. Step 4: Simplify right side
    11,571.74x = 100,070,696.64
  5. Step 5: Solve for x
    x = 100,070,696.64/11,571.74
  6. Step 6: Final answer
    x = 8,647.85

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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.