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Finding the Fourth Proportional to 6,716.95, 10,078.16 and 2,337.48

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Solution

The fourth proportional to 6,716.95, 10,078.16 and 2,337.48 is: 3,507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.95 : 10,078.16 = 2,337.48 : x
  2. Step 2: Convert to fraction form
    6,716.95/10,078.16 = 2,337.48/x
  3. Step 3: Cross multiply
    6,716.95x = 10,078.16 × 2,337.48
  4. Step 4: Simplify right side
    6,716.95x = 23,557,485.75
  5. Step 5: Solve for x
    x = 23,557,485.75/6,716.95
  6. Step 6: Final answer
    x = 3,507.17

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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.