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Finding the Fourth Proportional to 6,488.66, 9,733.83 and 2,329.13

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Solution

The fourth proportional to 6,488.66, 9,733.83 and 2,329.13 is: 3,493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.66 : 9,733.83 = 2,329.13 : x
  2. Step 2: Convert to fraction form
    6,488.66/9,733.83 = 2,329.13/x
  3. Step 3: Cross multiply
    6,488.66x = 9,733.83 × 2,329.13
  4. Step 4: Simplify right side
    6,488.66x = 22,671,306.80
  5. Step 5: Solve for x
    x = 22,671,306.80/6,488.66
  6. Step 6: Final answer
    x = 3,493.99

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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.