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Finding the Fourth Proportional to 6,875.66, 10,314.24 and 2,194.58

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Solution

The fourth proportional to 6,875.66, 10,314.24 and 2,194.58 is: 3,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.66 : 10,314.24 = 2,194.58 : x
  2. Step 2: Convert to fraction form
    6,875.66/10,314.24 = 2,194.58/x
  3. Step 3: Cross multiply
    6,875.66x = 10,314.24 × 2,194.58
  4. Step 4: Simplify right side
    6,875.66x = 22,635,424.82
  5. Step 5: Solve for x
    x = 22,635,424.82/6,875.66
  6. Step 6: Final answer
    x = 3,292.11

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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.