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Finding the Fourth Proportional to 6,995.70, 9,654.17 and 3,809.12

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Solution

The fourth proportional to 6,995.70, 9,654.17 and 3,809.12 is: 5,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.70 : 9,654.17 = 3,809.12 : x
  2. Step 2: Convert to fraction form
    6,995.70/9,654.17 = 3,809.12/x
  3. Step 3: Cross multiply
    6,995.70x = 9,654.17 × 3,809.12
  4. Step 4: Simplify right side
    6,995.70x = 36,773,824.71
  5. Step 5: Solve for x
    x = 36,773,824.71/6,995.70
  6. Step 6: Final answer
    x = 5,256.63

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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.