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Finding the Fourth Proportional to 11,571.12, 15,968.16 and 6,265.98

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Solution

The fourth proportional to 11,571.12, 15,968.16 and 6,265.98 is: 8,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.12 : 15,968.16 = 6,265.98 : x
  2. Step 2: Convert to fraction form
    11,571.12/15,968.16 = 6,265.98/x
  3. Step 3: Cross multiply
    11,571.12x = 15,968.16 × 6,265.98
  4. Step 4: Simplify right side
    11,571.12x = 100,056,171.20
  5. Step 5: Solve for x
    x = 100,056,171.20/11,571.12
  6. Step 6: Final answer
    x = 8,647.06

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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.