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Finding the Fourth Proportional to 8,200.59, 12,300.95 and 2,357.19

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Solution

The fourth proportional to 8,200.59, 12,300.95 and 2,357.19 is: 3,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.59 : 12,300.95 = 2,357.19 : x
  2. Step 2: Convert to fraction form
    8,200.59/12,300.95 = 2,357.19/x
  3. Step 3: Cross multiply
    8,200.59x = 12,300.95 × 2,357.19
  4. Step 4: Simplify right side
    8,200.59x = 28,995,664.54
  5. Step 5: Solve for x
    x = 28,995,664.54/8,200.59
  6. Step 6: Final answer
    x = 3,535.80

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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.