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Finding the Fourth Proportional to 14,805.76, 22,179.32 and 7,775.22

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Solution

The fourth proportional to 14,805.76, 22,179.32 and 7,775.22 is: 11,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,805.76 : 22,179.32 = 7,775.22 : x
  2. Step 2: Convert to fraction form
    14,805.76/22,179.32 = 7,775.22/x
  3. Step 3: Cross multiply
    14,805.76x = 22,179.32 × 7,775.22
  4. Step 4: Simplify right side
    14,805.76x = 172,449,092.45
  5. Step 5: Solve for x
    x = 172,449,092.45/14,805.76
  6. Step 6: Final answer
    x = 11,647.43

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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.