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Finding the Fourth Proportional to 11,602.35, 16,012.89 and 7,634.97

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Solution

The fourth proportional to 11,602.35, 16,012.89 and 7,634.97 is: 10,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.35 : 16,012.89 = 7,634.97 : x
  2. Step 2: Convert to fraction form
    11,602.35/16,012.89 = 7,634.97/x
  3. Step 3: Cross multiply
    11,602.35x = 16,012.89 × 7,634.97
  4. Step 4: Simplify right side
    11,602.35x = 122,257,934.76
  5. Step 5: Solve for x
    x = 122,257,934.76/11,602.35
  6. Step 6: Final answer
    x = 10,537.34

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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.