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Finding the Fourth Proportional to 8,209.63, 12,314.44 and 2,053.63

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Solution

The fourth proportional to 8,209.63, 12,314.44 and 2,053.63 is: 3,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.63 : 12,314.44 = 2,053.63 : x
  2. Step 2: Convert to fraction form
    8,209.63/12,314.44 = 2,053.63/x
  3. Step 3: Cross multiply
    8,209.63x = 12,314.44 × 2,053.63
  4. Step 4: Simplify right side
    8,209.63x = 25,289,303.42
  5. Step 5: Solve for x
    x = 25,289,303.42/8,209.63
  6. Step 6: Final answer
    x = 3,080.44

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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.