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Finding the Fourth Proportional to 6,567.80, 9,848.03 and 2,182.86

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Solution

The fourth proportional to 6,567.80, 9,848.03 and 2,182.86 is: 3,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.80 : 9,848.03 = 2,182.86 : x
  2. Step 2: Convert to fraction form
    6,567.80/9,848.03 = 2,182.86/x
  3. Step 3: Cross multiply
    6,567.80x = 9,848.03 × 2,182.86
  4. Step 4: Simplify right side
    6,567.80x = 21,496,859.85
  5. Step 5: Solve for x
    x = 21,496,859.85/6,567.80
  6. Step 6: Final answer
    x = 3,273.07

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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.