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Finding the Fourth Proportional to 9,603.38, 13,249.62 and 7,580.41

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Solution

The fourth proportional to 9,603.38, 13,249.62 and 7,580.41 is: 10,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.38 : 13,249.62 = 7,580.41 : x
  2. Step 2: Convert to fraction form
    9,603.38/13,249.62 = 7,580.41/x
  3. Step 3: Cross multiply
    9,603.38x = 13,249.62 × 7,580.41
  4. Step 4: Simplify right side
    9,603.38x = 100,437,551.94
  5. Step 5: Solve for x
    x = 100,437,551.94/9,603.38
  6. Step 6: Final answer
    x = 10,458.56

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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.