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Finding the Fourth Proportional to 6,982.04, 9,635.10 and 3,838.16

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Solution

The fourth proportional to 6,982.04, 9,635.10 and 3,838.16 is: 5,296.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.04 : 9,635.10 = 3,838.16 : x
  2. Step 2: Convert to fraction form
    6,982.04/9,635.10 = 3,838.16/x
  3. Step 3: Cross multiply
    6,982.04x = 9,635.10 × 3,838.16
  4. Step 4: Simplify right side
    6,982.04x = 36,981,055.42
  5. Step 5: Solve for x
    x = 36,981,055.42/6,982.04
  6. Step 6: Final answer
    x = 5,296.60

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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.