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Finding the Fourth Proportional to 6,365.64, 9,546.90 and 2,667.90

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Solution

The fourth proportional to 6,365.64, 9,546.90 and 2,667.90 is: 4,001.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.64 : 9,546.90 = 2,667.90 : x
  2. Step 2: Convert to fraction form
    6,365.64/9,546.90 = 2,667.90/x
  3. Step 3: Cross multiply
    6,365.64x = 9,546.90 × 2,667.90
  4. Step 4: Simplify right side
    6,365.64x = 25,470,174.51
  5. Step 5: Solve for x
    x = 25,470,174.51/6,365.64
  6. Step 6: Final answer
    x = 4,001.20

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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.