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Finding the Fourth Proportional to 14,549, 20,076.68 and 8,579.30

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Solution

The fourth proportional to 14,549, 20,076.68 and 8,579.30 is: 11,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549 : 20,076.68 = 8,579.30 : x
  2. Step 2: Convert to fraction form
    14,549/20,076.68 = 8,579.30/x
  3. Step 3: Cross multiply
    14,549x = 20,076.68 × 8,579.30
  4. Step 4: Simplify right side
    14,549x = 172,243,817.83
  5. Step 5: Solve for x
    x = 172,243,817.83/14,549
  6. Step 6: Final answer
    x = 11,838.88

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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.