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Finding the Fourth Proportional to 14,602.49, 21,910.64 and 7,578.77

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Solution

The fourth proportional to 14,602.49, 21,910.64 and 7,578.77 is: 11,371.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.49 : 21,910.64 = 7,578.77 : x
  2. Step 2: Convert to fraction form
    14,602.49/21,910.64 = 7,578.77/x
  3. Step 3: Cross multiply
    14,602.49x = 21,910.64 × 7,578.77
  4. Step 4: Simplify right side
    14,602.49x = 166,055,553.67
  5. Step 5: Solve for x
    x = 166,055,553.67/14,602.49
  6. Step 6: Final answer
    x = 11,371.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.