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Finding the Fourth Proportional to 11,623.74, 16,040.87 and 6,907.11

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Solution

The fourth proportional to 11,623.74, 16,040.87 and 6,907.11 is: 9,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.74 : 16,040.87 = 6,907.11 : x
  2. Step 2: Convert to fraction form
    11,623.74/16,040.87 = 6,907.11/x
  3. Step 3: Cross multiply
    11,623.74x = 16,040.87 × 6,907.11
  4. Step 4: Simplify right side
    11,623.74x = 110,796,053.59
  5. Step 5: Solve for x
    x = 110,796,053.59/11,623.74
  6. Step 6: Final answer
    x = 9,531.88

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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.