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Finding the Fourth Proportional to 6,998.48, 10,497.66 and 2,837.50

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Solution

The fourth proportional to 6,998.48, 10,497.66 and 2,837.50 is: 4,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.48 : 10,497.66 = 2,837.50 : x
  2. Step 2: Convert to fraction form
    6,998.48/10,497.66 = 2,837.50/x
  3. Step 3: Cross multiply
    6,998.48x = 10,497.66 × 2,837.50
  4. Step 4: Simplify right side
    6,998.48x = 29,787,132.95
  5. Step 5: Solve for x
    x = 29,787,132.95/6,998.48
  6. Step 6: Final answer
    x = 4,256.23

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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.