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Finding the Fourth Proportional to 5,776.75, 7,971.31 and 4,265.12

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Solution

The fourth proportional to 5,776.75, 7,971.31 and 4,265.12 is: 5,885.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.75 : 7,971.31 = 4,265.12 : x
  2. Step 2: Convert to fraction form
    5,776.75/7,971.31 = 4,265.12/x
  3. Step 3: Cross multiply
    5,776.75x = 7,971.31 × 4,265.12
  4. Step 4: Simplify right side
    5,776.75x = 33,998,553.85
  5. Step 5: Solve for x
    x = 33,998,553.85/5,776.75
  6. Step 6: Final answer
    x = 5,885.41

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Half scale
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Double 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.