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Finding the Fourth Proportional to 4,966.54, 6,847.12 and 4,255.31

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Solution

The fourth proportional to 4,966.54, 6,847.12 and 4,255.31 is: 5,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.54 : 6,847.12 = 4,255.31 : x
  2. Step 2: Convert to fraction form
    4,966.54/6,847.12 = 4,255.31/x
  3. Step 3: Cross multiply
    4,966.54x = 6,847.12 × 4,255.31
  4. Step 4: Simplify right side
    4,966.54x = 29,136,640.64
  5. Step 5: Solve for x
    x = 29,136,640.64/4,966.54
  6. Step 6: Final answer
    x = 5,866.59

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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.