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Finding the Fourth Proportional to 8,209.62, 12,314.50 and 2,053.62

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Solution

The fourth proportional to 8,209.62, 12,314.50 and 2,053.62 is: 3,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.62 : 12,314.50 = 2,053.62 : x
  2. Step 2: Convert to fraction form
    8,209.62/12,314.50 = 2,053.62/x
  3. Step 3: Cross multiply
    8,209.62x = 12,314.50 × 2,053.62
  4. Step 4: Simplify right side
    8,209.62x = 25,289,303.49
  5. Step 5: Solve for x
    x = 25,289,303.49/8,209.62
  6. Step 6: Final answer
    x = 3,080.45

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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.