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Finding the Fourth Proportional to 16,611.40, 22,913.24 and 9,892

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Solution

The fourth proportional to 16,611.40, 22,913.24 and 9,892 is: 13,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,611.40 : 22,913.24 = 9,892 : x
  2. Step 2: Convert to fraction form
    16,611.40/22,913.24 = 9,892/x
  3. Step 3: Cross multiply
    16,611.40x = 22,913.24 × 9,892
  4. Step 4: Simplify right side
    16,611.40x = 226,657,770.08
  5. Step 5: Solve for x
    x = 226,657,770.08/16,611.40
  6. Step 6: Final answer
    x = 13,644.71

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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.