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Finding the Fourth Proportional to 9,658.80, 14,488.56 and 2,733.12

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Solution

The fourth proportional to 9,658.80, 14,488.56 and 2,733.12 is: 4,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.80 : 14,488.56 = 2,733.12 : x
  2. Step 2: Convert to fraction form
    9,658.80/14,488.56 = 2,733.12/x
  3. Step 3: Cross multiply
    9,658.80x = 14,488.56 × 2,733.12
  4. Step 4: Simplify right side
    9,658.80x = 39,598,973.11
  5. Step 5: Solve for x
    x = 39,598,973.11/9,658.80
  6. Step 6: Final answer
    x = 4,099.78

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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.