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Finding the Fourth Proportional to 8,209.90, 11,329.59 and 4,852.90

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Solution

The fourth proportional to 8,209.90, 11,329.59 and 4,852.90 is: 6,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.90 : 11,329.59 = 4,852.90 : x
  2. Step 2: Convert to fraction form
    8,209.90/11,329.59 = 4,852.90/x
  3. Step 3: Cross multiply
    8,209.90x = 11,329.59 × 4,852.90
  4. Step 4: Simplify right side
    8,209.90x = 54,981,367.31
  5. Step 5: Solve for x
    x = 54,981,367.31/8,209.90
  6. Step 6: Final answer
    x = 6,696.96

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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.