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Finding the Fourth Proportional to 6,982.59, 9,638.22 and 4,471.47

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Solution

The fourth proportional to 6,982.59, 9,638.22 and 4,471.47 is: 6,172.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.59 : 9,638.22 = 4,471.47 : x
  2. Step 2: Convert to fraction form
    6,982.59/9,638.22 = 4,471.47/x
  3. Step 3: Cross multiply
    6,982.59x = 9,638.22 × 4,471.47
  4. Step 4: Simplify right side
    6,982.59x = 43,097,011.58
  5. Step 5: Solve for x
    x = 43,097,011.58/6,982.59
  6. Step 6: Final answer
    x = 6,172.07

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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.