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Finding the Fourth Proportional to 8,201.10, 12,300.69 and 2,278.44

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Solution

The fourth proportional to 8,201.10, 12,300.69 and 2,278.44 is: 3,417.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.10 : 12,300.69 = 2,278.44 : x
  2. Step 2: Convert to fraction form
    8,201.10/12,300.69 = 2,278.44/x
  3. Step 3: Cross multiply
    8,201.10x = 12,300.69 × 2,278.44
  4. Step 4: Simplify right side
    8,201.10x = 28,026,384.12
  5. Step 5: Solve for x
    x = 28,026,384.12/8,201.10
  6. Step 6: Final answer
    x = 3,417.39

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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.