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Finding the Fourth Proportional to 6,602.40, 9,904.64 and 2,218.86

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Solution

The fourth proportional to 6,602.40, 9,904.64 and 2,218.86 is: 3,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.40 : 9,904.64 = 2,218.86 : x
  2. Step 2: Convert to fraction form
    6,602.40/9,904.64 = 2,218.86/x
  3. Step 3: Cross multiply
    6,602.40x = 9,904.64 × 2,218.86
  4. Step 4: Simplify right side
    6,602.40x = 21,976,998.42
  5. Step 5: Solve for x
    x = 21,976,998.42/6,602.40
  6. Step 6: Final answer
    x = 3,328.64

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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.