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Finding the Fourth Proportional to 9,201.14, 13,793.90 and 3,658.40

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Solution

The fourth proportional to 9,201.14, 13,793.90 and 3,658.40 is: 5,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.14 : 13,793.90 = 3,658.40 : x
  2. Step 2: Convert to fraction form
    9,201.14/13,793.90 = 3,658.40/x
  3. Step 3: Cross multiply
    9,201.14x = 13,793.90 × 3,658.40
  4. Step 4: Simplify right side
    9,201.14x = 50,463,603.76
  5. Step 5: Solve for x
    x = 50,463,603.76/9,201.14
  6. Step 6: Final answer
    x = 5,484.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.