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Finding the Fourth Proportional to 11,883.90, 16,399.04 and 6,973.95

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Solution

The fourth proportional to 11,883.90, 16,399.04 and 6,973.95 is: 9,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,883.90 : 16,399.04 = 6,973.95 : x
  2. Step 2: Convert to fraction form
    11,883.90/16,399.04 = 6,973.95/x
  3. Step 3: Cross multiply
    11,883.90x = 16,399.04 × 6,973.95
  4. Step 4: Simplify right side
    11,883.90x = 114,366,050.14
  5. Step 5: Solve for x
    x = 114,366,050.14/11,883.90
  6. Step 6: Final answer
    x = 9,623.61

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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.