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Finding the Fourth Proportional to 9,601.50, 13,250.07 and 5,409.90

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Solution

The fourth proportional to 9,601.50, 13,250.07 and 5,409.90 is: 7,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.50 : 13,250.07 = 5,409.90 : x
  2. Step 2: Convert to fraction form
    9,601.50/13,250.07 = 5,409.90/x
  3. Step 3: Cross multiply
    9,601.50x = 13,250.07 × 5,409.90
  4. Step 4: Simplify right side
    9,601.50x = 71,681,553.69
  5. Step 5: Solve for x
    x = 71,681,553.69/9,601.50
  6. Step 6: Final answer
    x = 7,465.66

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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.