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Finding the Fourth Proportional to 6,958.68, 10,438 and 3,263.50

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Solution

The fourth proportional to 6,958.68, 10,438 and 3,263.50 is: 4,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.68 : 10,438 = 3,263.50 : x
  2. Step 2: Convert to fraction form
    6,958.68/10,438 = 3,263.50/x
  3. Step 3: Cross multiply
    6,958.68x = 10,438 × 3,263.50
  4. Step 4: Simplify right side
    6,958.68x = 34,064,413
  5. Step 5: Solve for x
    x = 34,064,413/6,958.68
  6. Step 6: Final answer
    x = 4,895.24

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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.