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Finding the Fourth Proportional to 6,476.22, 9,712.65 and 1,796.64

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Solution

The fourth proportional to 6,476.22, 9,712.65 and 1,796.64 is: 2,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.22 : 9,712.65 = 1,796.64 : x
  2. Step 2: Convert to fraction form
    6,476.22/9,712.65 = 1,796.64/x
  3. Step 3: Cross multiply
    6,476.22x = 9,712.65 × 1,796.64
  4. Step 4: Simplify right side
    6,476.22x = 17,450,135.50
  5. Step 5: Solve for x
    x = 17,450,135.50/6,476.22
  6. Step 6: Final answer
    x = 2,694.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.