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Finding the Fourth Proportional to 14,872.64, 20,522.94 and 8,497.96

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Solution

The fourth proportional to 14,872.64, 20,522.94 and 8,497.96 is: 11,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.64 : 20,522.94 = 8,497.96 : x
  2. Step 2: Convert to fraction form
    14,872.64/20,522.94 = 8,497.96/x
  3. Step 3: Cross multiply
    14,872.64x = 20,522.94 × 8,497.96
  4. Step 4: Simplify right side
    14,872.64x = 174,403,227.17
  5. Step 5: Solve for x
    x = 174,403,227.17/14,872.64
  6. Step 6: Final answer
    x = 11,726.44

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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.