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Finding the Fourth Proportional to 11,105.44, 16,658.16 and 2,897.44

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Solution

The fourth proportional to 11,105.44, 16,658.16 and 2,897.44 is: 4,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.44 : 16,658.16 = 2,897.44 : x
  2. Step 2: Convert to fraction form
    11,105.44/16,658.16 = 2,897.44/x
  3. Step 3: Cross multiply
    11,105.44x = 16,658.16 × 2,897.44
  4. Step 4: Simplify right side
    11,105.44x = 48,266,019.11
  5. Step 5: Solve for x
    x = 48,266,019.11/11,105.44
  6. Step 6: Final answer
    x = 4,346.16

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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.