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Finding the Fourth Proportional to 9,600.75, 13,249.08 and 5,409

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Solution

The fourth proportional to 9,600.75, 13,249.08 and 5,409 is: 7,464.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.75 : 13,249.08 = 5,409 : x
  2. Step 2: Convert to fraction form
    9,600.75/13,249.08 = 5,409/x
  3. Step 3: Cross multiply
    9,600.75x = 13,249.08 × 5,409
  4. Step 4: Simplify right side
    9,600.75x = 71,664,273.72
  5. Step 5: Solve for x
    x = 71,664,273.72/9,600.75
  6. Step 6: Final answer
    x = 7,464.45

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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.