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Finding the Fourth Proportional to 6,964.48, 9,610.24 and 3,820.64

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Solution

The fourth proportional to 6,964.48, 9,610.24 and 3,820.64 is: 5,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.48 : 9,610.24 = 3,820.64 : x
  2. Step 2: Convert to fraction form
    6,964.48/9,610.24 = 3,820.64/x
  3. Step 3: Cross multiply
    6,964.48x = 9,610.24 × 3,820.64
  4. Step 4: Simplify right side
    6,964.48x = 36,717,267.35
  5. Step 5: Solve for x
    x = 36,717,267.35/6,964.48
  6. Step 6: Final answer
    x = 5,272.08

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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.