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Finding the Fourth Proportional to 5,682.56, 7,842.29 and 3,164.63

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Solution

The fourth proportional to 5,682.56, 7,842.29 and 3,164.63 is: 4,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.56 : 7,842.29 = 3,164.63 : x
  2. Step 2: Convert to fraction form
    5,682.56/7,842.29 = 3,164.63/x
  3. Step 3: Cross multiply
    5,682.56x = 7,842.29 × 3,164.63
  4. Step 4: Simplify right side
    5,682.56x = 24,817,891.17
  5. Step 5: Solve for x
    x = 24,817,891.17/5,682.56
  6. Step 6: Final answer
    x = 4,367.38

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Half scale
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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.