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Finding the Fourth Proportional to 8,185.40, 12,278.10 and 2,029.40

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Solution

The fourth proportional to 8,185.40, 12,278.10 and 2,029.40 is: 3,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.40 : 12,278.10 = 2,029.40 : x
  2. Step 2: Convert to fraction form
    8,185.40/12,278.10 = 2,029.40/x
  3. Step 3: Cross multiply
    8,185.40x = 12,278.10 × 2,029.40
  4. Step 4: Simplify right side
    8,185.40x = 24,917,176.14
  5. Step 5: Solve for x
    x = 24,917,176.14/8,185.40
  6. Step 6: Final answer
    x = 3,044.10

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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.