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Finding the Fourth Proportional to 9,104.64, 13,658.78 and 2,866.22

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Solution

The fourth proportional to 9,104.64, 13,658.78 and 2,866.22 is: 4,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.64 : 13,658.78 = 2,866.22 : x
  2. Step 2: Convert to fraction form
    9,104.64/13,658.78 = 2,866.22/x
  3. Step 3: Cross multiply
    9,104.64x = 13,658.78 × 2,866.22
  4. Step 4: Simplify right side
    9,104.64x = 39,149,042.38
  5. Step 5: Solve for x
    x = 39,149,042.38/9,104.64
  6. Step 6: Final answer
    x = 4,299.90

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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.