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Finding the Fourth Proportional to 4,771.92, 6,584.88 and 2,782.22

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Solution

The fourth proportional to 4,771.92, 6,584.88 and 2,782.22 is: 3,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.92 : 6,584.88 = 2,782.22 : x
  2. Step 2: Convert to fraction form
    4,771.92/6,584.88 = 2,782.22/x
  3. Step 3: Cross multiply
    4,771.92x = 6,584.88 × 2,782.22
  4. Step 4: Simplify right side
    4,771.92x = 18,320,584.83
  5. Step 5: Solve for x
    x = 18,320,584.83/4,771.92
  6. Step 6: Final answer
    x = 3,839.25

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Half scale
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Double scale
Find fourth proportional to 4,772.92, 6,586.26 and 2,783.22
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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.