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Finding the Fourth Proportional to 16,564.94, 22,859.61 and 9,112.94

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Solution

The fourth proportional to 16,564.94, 22,859.61 and 9,112.94 is: 12,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.94 : 22,859.61 = 9,112.94 : x
  2. Step 2: Convert to fraction form
    16,564.94/22,859.61 = 9,112.94/x
  3. Step 3: Cross multiply
    16,564.94x = 22,859.61 × 9,112.94
  4. Step 4: Simplify right side
    16,564.94x = 208,318,254.35
  5. Step 5: Solve for x
    x = 208,318,254.35/16,564.94
  6. Step 6: Final answer
    x = 12,575.85

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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.