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Finding the Fourth Proportional to 6,602.64, 9,906.17 and 2,160.51

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Solution

The fourth proportional to 6,602.64, 9,906.17 and 2,160.51 is: 3,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.64 : 9,906.17 = 2,160.51 : x
  2. Step 2: Convert to fraction form
    6,602.64/9,906.17 = 2,160.51/x
  3. Step 3: Cross multiply
    6,602.64x = 9,906.17 × 2,160.51
  4. Step 4: Simplify right side
    6,602.64x = 21,402,368.54
  5. Step 5: Solve for x
    x = 21,402,368.54/6,602.64
  6. Step 6: Final answer
    x = 3,241.49

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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.