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Finding the Fourth Proportional to 5,771.61, 7,965 and 3,504.42

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Solution

The fourth proportional to 5,771.61, 7,965 and 3,504.42 is: 4,836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.61 : 7,965 = 3,504.42 : x
  2. Step 2: Convert to fraction form
    5,771.61/7,965 = 3,504.42/x
  3. Step 3: Cross multiply
    5,771.61x = 7,965 × 3,504.42
  4. Step 4: Simplify right side
    5,771.61x = 27,912,705.30
  5. Step 5: Solve for x
    x = 27,912,705.30/5,771.61
  6. Step 6: Final answer
    x = 4,836.21

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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.