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Finding the Fourth Proportional to 4,761.39, 7,142.10 and 1,683.39

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Solution

The fourth proportional to 4,761.39, 7,142.10 and 1,683.39 is: 2,525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.39 : 7,142.10 = 1,683.39 : x
  2. Step 2: Convert to fraction form
    4,761.39/7,142.10 = 1,683.39/x
  3. Step 3: Cross multiply
    4,761.39x = 7,142.10 × 1,683.39
  4. Step 4: Simplify right side
    4,761.39x = 12,022,939.72
  5. Step 5: Solve for x
    x = 12,022,939.72/4,761.39
  6. Step 6: Final answer
    x = 2,525.09

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.