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Finding the Fourth Proportional to 6,530.40, 9,796.24 and 2,146.08

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Solution

The fourth proportional to 6,530.40, 9,796.24 and 2,146.08 is: 3,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.40 : 9,796.24 = 2,146.08 : x
  2. Step 2: Convert to fraction form
    6,530.40/9,796.24 = 2,146.08/x
  3. Step 3: Cross multiply
    6,530.40x = 9,796.24 × 2,146.08
  4. Step 4: Simplify right side
    6,530.40x = 21,023,514.74
  5. Step 5: Solve for x
    x = 21,023,514.74/6,530.40
  6. Step 6: Final answer
    x = 3,219.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.