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Finding the Fourth Proportional to 6,958.53, 9,603 and 3,974.31

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Solution

The fourth proportional to 6,958.53, 9,603 and 3,974.31 is: 5,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.53 : 9,603 = 3,974.31 : x
  2. Step 2: Convert to fraction form
    6,958.53/9,603 = 3,974.31/x
  3. Step 3: Cross multiply
    6,958.53x = 9,603 × 3,974.31
  4. Step 4: Simplify right side
    6,958.53x = 38,165,298.93
  5. Step 5: Solve for x
    x = 38,165,298.93/6,958.53
  6. Step 6: Final answer
    x = 5,484.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.