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Finding the Fourth Proportional to 8,041.50, 12,062.16 and 2,198.12

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Solution

The fourth proportional to 8,041.50, 12,062.16 and 2,198.12 is: 3,297.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.50 : 12,062.16 = 2,198.12 : x
  2. Step 2: Convert to fraction form
    8,041.50/12,062.16 = 2,198.12/x
  3. Step 3: Cross multiply
    8,041.50x = 12,062.16 × 2,198.12
  4. Step 4: Simplify right side
    8,041.50x = 26,514,075.14
  5. Step 5: Solve for x
    x = 26,514,075.14/8,041.50
  6. Step 6: Final answer
    x = 3,297.16

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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.