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Finding the Fourth Proportional to 11,897.01, 16,418.09 and 7,184.03

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Solution

The fourth proportional to 11,897.01, 16,418.09 and 7,184.03 is: 9,914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.01 : 16,418.09 = 7,184.03 : x
  2. Step 2: Convert to fraction form
    11,897.01/16,418.09 = 7,184.03/x
  3. Step 3: Cross multiply
    11,897.01x = 16,418.09 × 7,184.03
  4. Step 4: Simplify right side
    11,897.01x = 117,947,986.97
  5. Step 5: Solve for x
    x = 117,947,986.97/11,897.01
  6. Step 6: Final answer
    x = 9,914.09

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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.