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Finding the Fourth Proportional to 6,967.08, 9,614.58 and 3,982.99

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Solution

The fourth proportional to 6,967.08, 9,614.58 and 3,982.99 is: 5,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.08 : 9,614.58 = 3,982.99 : x
  2. Step 2: Convert to fraction form
    6,967.08/9,614.58 = 3,982.99/x
  3. Step 3: Cross multiply
    6,967.08x = 9,614.58 × 3,982.99
  4. Step 4: Simplify right side
    6,967.08x = 38,294,775.99
  5. Step 5: Solve for x
    x = 38,294,775.99/6,967.08
  6. Step 6: Final answer
    x = 5,496.54

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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.