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Finding the Fourth Proportional to 6,567.77, 9,853.13 and 2,185.40

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Solution

The fourth proportional to 6,567.77, 9,853.13 and 2,185.40 is: 3,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.77 : 9,853.13 = 2,185.40 : x
  2. Step 2: Convert to fraction form
    6,567.77/9,853.13 = 2,185.40/x
  3. Step 3: Cross multiply
    6,567.77x = 9,853.13 × 2,185.40
  4. Step 4: Simplify right side
    6,567.77x = 21,532,986.50
  5. Step 5: Solve for x
    x = 21,532,986.50/6,567.77
  6. Step 6: Final answer
    x = 3,278.59

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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.