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Finding the Fourth Proportional to 8,234.58, 12,353.10 and 2,686.56

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Solution

The fourth proportional to 8,234.58, 12,353.10 and 2,686.56 is: 4,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.58 : 12,353.10 = 2,686.56 : x
  2. Step 2: Convert to fraction form
    8,234.58/12,353.10 = 2,686.56/x
  3. Step 3: Cross multiply
    8,234.58x = 12,353.10 × 2,686.56
  4. Step 4: Simplify right side
    8,234.58x = 33,187,344.34
  5. Step 5: Solve for x
    x = 33,187,344.34/8,234.58
  6. Step 6: Final answer
    x = 4,030.24

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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.