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Finding the Fourth Proportional to 14,644.88, 21,977.04 and 7,724.24

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Solution

The fourth proportional to 14,644.88, 21,977.04 and 7,724.24 is: 11,591.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.88 : 21,977.04 = 7,724.24 : x
  2. Step 2: Convert to fraction form
    14,644.88/21,977.04 = 7,724.24/x
  3. Step 3: Cross multiply
    14,644.88x = 21,977.04 × 7,724.24
  4. Step 4: Simplify right side
    14,644.88x = 169,755,931.45
  5. Step 5: Solve for x
    x = 169,755,931.45/14,644.88
  6. Step 6: Final answer
    x = 11,591.49

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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.