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Finding the Fourth Proportional to 8,200.98, 12,301.47 and 2,357.64

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Solution

The fourth proportional to 8,200.98, 12,301.47 and 2,357.64 is: 3,536.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.98 : 12,301.47 = 2,357.64 : x
  2. Step 2: Convert to fraction form
    8,200.98/12,301.47 = 2,357.64/x
  3. Step 3: Cross multiply
    8,200.98x = 12,301.47 × 2,357.64
  4. Step 4: Simplify right side
    8,200.98x = 29,002,437.73
  5. Step 5: Solve for x
    x = 29,002,437.73/8,200.98
  6. Step 6: Final answer
    x = 3,536.46

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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.