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Finding the Fourth Proportional to 8,172.64, 12,254.16 and 3,239.20

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Solution

The fourth proportional to 8,172.64, 12,254.16 and 3,239.20 is: 4,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.64 : 12,254.16 = 3,239.20 : x
  2. Step 2: Convert to fraction form
    8,172.64/12,254.16 = 3,239.20/x
  3. Step 3: Cross multiply
    8,172.64x = 12,254.16 × 3,239.20
  4. Step 4: Simplify right side
    8,172.64x = 39,693,675.07
  5. Step 5: Solve for x
    x = 39,693,675.07/8,172.64
  6. Step 6: Final answer
    x = 4,856.90

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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.