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Finding the Fourth Proportional to 6,958.02, 10,437.14 and 2,278

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Solution

The fourth proportional to 6,958.02, 10,437.14 and 2,278 is: 3,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.02 : 10,437.14 = 2,278 : x
  2. Step 2: Convert to fraction form
    6,958.02/10,437.14 = 2,278/x
  3. Step 3: Cross multiply
    6,958.02x = 10,437.14 × 2,278
  4. Step 4: Simplify right side
    6,958.02x = 23,775,804.92
  5. Step 5: Solve for x
    x = 23,775,804.92/6,958.02
  6. Step 6: Final answer
    x = 3,417.04

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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.