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Finding the Fourth Proportional to 5,682.04, 7,841.25 and 3,164.25

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Solution

The fourth proportional to 5,682.04, 7,841.25 and 3,164.25 is: 4,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.04 : 7,841.25 = 3,164.25 : x
  2. Step 2: Convert to fraction form
    5,682.04/7,841.25 = 3,164.25/x
  3. Step 3: Cross multiply
    5,682.04x = 7,841.25 × 3,164.25
  4. Step 4: Simplify right side
    5,682.04x = 24,811,675.31
  5. Step 5: Solve for x
    x = 24,811,675.31/5,682.04
  6. Step 6: Final answer
    x = 4,366.68

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Half scale
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Double scale
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Similar ratio
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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.