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Finding the Fourth Proportional to 14,222.76, 19,627.14 and 7,849.95

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Solution

The fourth proportional to 14,222.76, 19,627.14 and 7,849.95 is: 10,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222.76 : 19,627.14 = 7,849.95 : x
  2. Step 2: Convert to fraction form
    14,222.76/19,627.14 = 7,849.95/x
  3. Step 3: Cross multiply
    14,222.76x = 19,627.14 × 7,849.95
  4. Step 4: Simplify right side
    14,222.76x = 154,072,067.64
  5. Step 5: Solve for x
    x = 154,072,067.64/14,222.76
  6. Step 6: Final answer
    x = 10,832.78

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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.