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Finding the Fourth Proportional to 9,603.44, 14,369.20 and 6,836.48

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Solution

The fourth proportional to 9,603.44, 14,369.20 and 6,836.48 is: 10,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.44 : 14,369.20 = 6,836.48 : x
  2. Step 2: Convert to fraction form
    9,603.44/14,369.20 = 6,836.48/x
  3. Step 3: Cross multiply
    9,603.44x = 14,369.20 × 6,836.48
  4. Step 4: Simplify right side
    9,603.44x = 98,234,748.42
  5. Step 5: Solve for x
    x = 98,234,748.42/9,603.44
  6. Step 6: Final answer
    x = 10,229.12

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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.