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Finding the Fourth Proportional to 6,567.70, 9,848.12 and 3,234.56

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Solution

The fourth proportional to 6,567.70, 9,848.12 and 3,234.56 is: 4,850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.70 : 9,848.12 = 3,234.56 : x
  2. Step 2: Convert to fraction form
    6,567.70/9,848.12 = 3,234.56/x
  3. Step 3: Cross multiply
    6,567.70x = 9,848.12 × 3,234.56
  4. Step 4: Simplify right side
    6,567.70x = 31,854,335.03
  5. Step 5: Solve for x
    x = 31,854,335.03/6,567.70
  6. Step 6: Final answer
    x = 4,850.15

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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.