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Finding the Fourth Proportional to 8,548.61, 12,824.12 and 4,163.06

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Solution

The fourth proportional to 8,548.61, 12,824.12 and 4,163.06 is: 6,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.61 : 12,824.12 = 4,163.06 : x
  2. Step 2: Convert to fraction form
    8,548.61/12,824.12 = 4,163.06/x
  3. Step 3: Cross multiply
    8,548.61x = 12,824.12 × 4,163.06
  4. Step 4: Simplify right side
    8,548.61x = 53,387,623.48
  5. Step 5: Solve for x
    x = 53,387,623.48/8,548.61
  6. Step 6: Final answer
    x = 6,245.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.