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Finding the Fourth Proportional to 16,564.91, 22,859.84 and 9,011.39

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Solution

The fourth proportional to 16,564.91, 22,859.84 and 9,011.39 is: 12,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.91 : 22,859.84 = 9,011.39 : x
  2. Step 2: Convert to fraction form
    16,564.91/22,859.84 = 9,011.39/x
  3. Step 3: Cross multiply
    16,564.91x = 22,859.84 × 9,011.39
  4. Step 4: Simplify right side
    16,564.91x = 205,998,774.22
  5. Step 5: Solve for x
    x = 205,998,774.22/16,564.91
  6. Step 6: Final answer
    x = 12,435.86

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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.