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Finding the Fourth Proportional to 5,694.75, 7,840.88 and 4,842.33

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Solution

The fourth proportional to 5,694.75, 7,840.88 and 4,842.33 is: 6,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.75 : 7,840.88 = 4,842.33 : x
  2. Step 2: Convert to fraction form
    5,694.75/7,840.88 = 4,842.33/x
  3. Step 3: Cross multiply
    5,694.75x = 7,840.88 × 4,842.33
  4. Step 4: Simplify right side
    5,694.75x = 37,968,104.24
  5. Step 5: Solve for x
    x = 37,968,104.24/5,694.75
  6. Step 6: Final answer
    x = 6,667.21

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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.