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Finding the Fourth Proportional to 8,184.06, 12,276.20 and 2,028.06

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Solution

The fourth proportional to 8,184.06, 12,276.20 and 2,028.06 is: 3,042.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.06 : 12,276.20 = 2,028.06 : x
  2. Step 2: Convert to fraction form
    8,184.06/12,276.20 = 2,028.06/x
  3. Step 3: Cross multiply
    8,184.06x = 12,276.20 × 2,028.06
  4. Step 4: Simplify right side
    8,184.06x = 24,896,870.17
  5. Step 5: Solve for x
    x = 24,896,870.17/8,184.06
  6. Step 6: Final answer
    x = 3,042.12

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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.