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Finding the Fourth Proportional to 4,822.24, 6,650.04 and 4,114.48

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Solution

The fourth proportional to 4,822.24, 6,650.04 and 4,114.48 is: 5,674.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.24 : 6,650.04 = 4,114.48 : x
  2. Step 2: Convert to fraction form
    4,822.24/6,650.04 = 4,114.48/x
  3. Step 3: Cross multiply
    4,822.24x = 6,650.04 × 4,114.48
  4. Step 4: Simplify right side
    4,822.24x = 27,361,456.58
  5. Step 5: Solve for x
    x = 27,361,456.58/4,822.24
  6. Step 6: Final answer
    x = 5,674.01

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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.