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Finding the Fourth Proportional to 6,967.95, 9,615.17 and 3,983.20

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Solution

The fourth proportional to 6,967.95, 9,615.17 and 3,983.20 is: 5,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.95 : 9,615.17 = 3,983.20 : x
  2. Step 2: Convert to fraction form
    6,967.95/9,615.17 = 3,983.20/x
  3. Step 3: Cross multiply
    6,967.95x = 9,615.17 × 3,983.20
  4. Step 4: Simplify right side
    6,967.95x = 38,299,131.06
  5. Step 5: Solve for x
    x = 38,299,131.06/6,967.95
  6. Step 6: Final answer
    x = 5,496.47

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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.