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Finding the Fourth Proportional to 6,963.96, 9,610.10 and 3,820.12

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Solution

The fourth proportional to 6,963.96, 9,610.10 and 3,820.12 is: 5,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.96 : 9,610.10 = 3,820.12 : x
  2. Step 2: Convert to fraction form
    6,963.96/9,610.10 = 3,820.12/x
  3. Step 3: Cross multiply
    6,963.96x = 9,610.10 × 3,820.12
  4. Step 4: Simplify right side
    6,963.96x = 36,711,735.21
  5. Step 5: Solve for x
    x = 36,711,735.21/6,963.96
  6. Step 6: Final answer
    x = 5,271.68

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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.