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Finding the Fourth Proportional to 6,964.84, 9,608.80 and 4,447.04

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Solution

The fourth proportional to 6,964.84, 9,608.80 and 4,447.04 is: 6,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.84 : 9,608.80 = 4,447.04 : x
  2. Step 2: Convert to fraction form
    6,964.84/9,608.80 = 4,447.04/x
  3. Step 3: Cross multiply
    6,964.84x = 9,608.80 × 4,447.04
  4. Step 4: Simplify right side
    6,964.84x = 42,730,717.95
  5. Step 5: Solve for x
    x = 42,730,717.95/6,964.84
  6. Step 6: Final answer
    x = 6,135.20

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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.