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Finding the Fourth Proportional to 6,998.51, 10,499.58 and 2,616

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Solution

The fourth proportional to 6,998.51, 10,499.58 and 2,616 is: 3,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.51 : 10,499.58 = 2,616 : x
  2. Step 2: Convert to fraction form
    6,998.51/10,499.58 = 2,616/x
  3. Step 3: Cross multiply
    6,998.51x = 10,499.58 × 2,616
  4. Step 4: Simplify right side
    6,998.51x = 27,466,901.28
  5. Step 5: Solve for x
    x = 27,466,901.28/6,998.51
  6. Step 6: Final answer
    x = 3,924.68

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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.