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Finding the Fourth Proportional to 11,643.75, 16,072.43 and 6,927.93

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Solution

The fourth proportional to 11,643.75, 16,072.43 and 6,927.93 is: 9,562.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.75 : 16,072.43 = 6,927.93 : x
  2. Step 2: Convert to fraction form
    11,643.75/16,072.43 = 6,927.93/x
  3. Step 3: Cross multiply
    11,643.75x = 16,072.43 × 6,927.93
  4. Step 4: Simplify right side
    11,643.75x = 111,348,635.33
  5. Step 5: Solve for x
    x = 111,348,635.33/11,643.75
  6. Step 6: Final answer
    x = 9,562.95

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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.