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Finding the Fourth Proportional to 8,548.06, 12,822.15 and 8,176.30

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Solution

The fourth proportional to 8,548.06, 12,822.15 and 8,176.30 is: 12,264.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.06 : 12,822.15 = 8,176.30 : x
  2. Step 2: Convert to fraction form
    8,548.06/12,822.15 = 8,176.30/x
  3. Step 3: Cross multiply
    8,548.06x = 12,822.15 × 8,176.30
  4. Step 4: Simplify right side
    8,548.06x = 104,837,745.05
  5. Step 5: Solve for x
    x = 104,837,745.05/8,548.06
  6. Step 6: Final answer
    x = 12,264.51

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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.