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Finding the Fourth Proportional to 16,296.84, 22,491.07 and 9,126.64

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Solution

The fourth proportional to 16,296.84, 22,491.07 and 9,126.64 is: 12,595.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,296.84 : 22,491.07 = 9,126.64 : x
  2. Step 2: Convert to fraction form
    16,296.84/22,491.07 = 9,126.64/x
  3. Step 3: Cross multiply
    16,296.84x = 22,491.07 × 9,126.64
  4. Step 4: Simplify right side
    16,296.84x = 205,267,841.15
  5. Step 5: Solve for x
    x = 205,267,841.15/16,296.84
  6. Step 6: Final answer
    x = 12,595.56

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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.