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Finding the Fourth Proportional to 9,658.92, 14,488.74 and 3,419.59

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Solution

The fourth proportional to 9,658.92, 14,488.74 and 3,419.59 is: 5,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.92 : 14,488.74 = 3,419.59 : x
  2. Step 2: Convert to fraction form
    9,658.92/14,488.74 = 3,419.59/x
  3. Step 3: Cross multiply
    9,658.92x = 14,488.74 × 3,419.59
  4. Step 4: Simplify right side
    9,658.92x = 49,545,550.42
  5. Step 5: Solve for x
    x = 49,545,550.42/9,658.92
  6. Step 6: Final answer
    x = 5,129.51

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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.