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Finding the Fourth Proportional to 6,400.80, 8,832.24 and 3,749.07

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Solution

The fourth proportional to 6,400.80, 8,832.24 and 3,749.07 is: 5,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.80 : 8,832.24 = 3,749.07 : x
  2. Step 2: Convert to fraction form
    6,400.80/8,832.24 = 3,749.07/x
  3. Step 3: Cross multiply
    6,400.80x = 8,832.24 × 3,749.07
  4. Step 4: Simplify right side
    6,400.80x = 33,112,686.02
  5. Step 5: Solve for x
    x = 33,112,686.02/6,400.80
  6. Step 6: Final answer
    x = 5,173.21

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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.