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Finding the Fourth Proportional to 11,668.83, 16,103.19 and 6,363.84

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Solution

The fourth proportional to 11,668.83, 16,103.19 and 6,363.84 is: 8,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.83 : 16,103.19 = 6,363.84 : x
  2. Step 2: Convert to fraction form
    11,668.83/16,103.19 = 6,363.84/x
  3. Step 3: Cross multiply
    11,668.83x = 16,103.19 × 6,363.84
  4. Step 4: Simplify right side
    11,668.83x = 102,478,124.65
  5. Step 5: Solve for x
    x = 102,478,124.65/11,668.83
  6. Step 6: Final answer
    x = 8,782.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.