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Finding the Fourth Proportional to 12,223.31, 16,866.83 and 6,917.06

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Solution

The fourth proportional to 12,223.31, 16,866.83 and 6,917.06 is: 9,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.31 : 16,866.83 = 6,917.06 : x
  2. Step 2: Convert to fraction form
    12,223.31/16,866.83 = 6,917.06/x
  3. Step 3: Cross multiply
    12,223.31x = 16,866.83 × 6,917.06
  4. Step 4: Simplify right side
    12,223.31x = 116,668,934.58
  5. Step 5: Solve for x
    x = 116,668,934.58/12,223.31
  6. Step 6: Final answer
    x = 9,544.79

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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.