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Finding the Fourth Proportional to 6,935.25, 10,403.01 and 2,318.25

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Solution

The fourth proportional to 6,935.25, 10,403.01 and 2,318.25 is: 3,477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.25 : 10,403.01 = 2,318.25 : x
  2. Step 2: Convert to fraction form
    6,935.25/10,403.01 = 2,318.25/x
  3. Step 3: Cross multiply
    6,935.25x = 10,403.01 × 2,318.25
  4. Step 4: Simplify right side
    6,935.25x = 24,116,777.93
  5. Step 5: Solve for x
    x = 24,116,777.93/6,935.25
  6. Step 6: Final answer
    x = 3,477.42

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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.