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Finding the Fourth Proportional to 6,351.54, 8,762.20 and 4,114.16

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Solution

The fourth proportional to 6,351.54, 8,762.20 and 4,114.16 is: 5,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.54 : 8,762.20 = 4,114.16 : x
  2. Step 2: Convert to fraction form
    6,351.54/8,762.20 = 4,114.16/x
  3. Step 3: Cross multiply
    6,351.54x = 8,762.20 × 4,114.16
  4. Step 4: Simplify right side
    6,351.54x = 36,049,092.75
  5. Step 5: Solve for x
    x = 36,049,092.75/6,351.54
  6. Step 6: Final answer
    x = 5,675.65

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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.