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Finding the Fourth Proportional to 14,649.76, 21,974.79 and 5,882.63

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Solution

The fourth proportional to 14,649.76, 21,974.79 and 5,882.63 is: 8,824.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.76 : 21,974.79 = 5,882.63 : x
  2. Step 2: Convert to fraction form
    14,649.76/21,974.79 = 5,882.63/x
  3. Step 3: Cross multiply
    14,649.76x = 21,974.79 × 5,882.63
  4. Step 4: Simplify right side
    14,649.76x = 129,269,471.08
  5. Step 5: Solve for x
    x = 129,269,471.08/14,649.76
  6. Step 6: Final answer
    x = 8,824.00

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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.