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Finding the Fourth Proportional to 9,658.99, 14,493.62 and 3,815.65

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Solution

The fourth proportional to 9,658.99, 14,493.62 and 3,815.65 is: 5,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.99 : 14,493.62 = 3,815.65 : x
  2. Step 2: Convert to fraction form
    9,658.99/14,493.62 = 3,815.65/x
  3. Step 3: Cross multiply
    9,658.99x = 14,493.62 × 3,815.65
  4. Step 4: Simplify right side
    9,658.99x = 55,302,581.15
  5. Step 5: Solve for x
    x = 55,302,581.15/9,658.99
  6. Step 6: Final answer
    x = 5,725.50

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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.