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Finding the Fourth Proportional to 8,202.85, 12,303.85 and 2,359.23

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Solution

The fourth proportional to 8,202.85, 12,303.85 and 2,359.23 is: 3,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.85 : 12,303.85 = 2,359.23 : x
  2. Step 2: Convert to fraction form
    8,202.85/12,303.85 = 2,359.23/x
  3. Step 3: Cross multiply
    8,202.85x = 12,303.85 × 2,359.23
  4. Step 4: Simplify right side
    8,202.85x = 29,027,600.24
  5. Step 5: Solve for x
    x = 29,027,600.24/8,202.85
  6. Step 6: Final answer
    x = 3,538.72

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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.