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Finding the Fourth Proportional to 11,571.10, 15,968.10 and 6,265.92

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Solution

The fourth proportional to 11,571.10, 15,968.10 and 6,265.92 is: 8,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.10 : 15,968.10 = 6,265.92 : x
  2. Step 2: Convert to fraction form
    11,571.10/15,968.10 = 6,265.92/x
  3. Step 3: Cross multiply
    11,571.10x = 15,968.10 × 6,265.92
  4. Step 4: Simplify right side
    11,571.10x = 100,054,837.15
  5. Step 5: Solve for x
    x = 100,054,837.15/11,571.10
  6. Step 6: Final answer
    x = 8,646.96

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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.