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Finding the Fourth Proportional to 16,484.57, 22,747.22 and 9,769.12

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Solution

The fourth proportional to 16,484.57, 22,747.22 and 9,769.12 is: 13,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484.57 : 22,747.22 = 9,769.12 : x
  2. Step 2: Convert to fraction form
    16,484.57/22,747.22 = 9,769.12/x
  3. Step 3: Cross multiply
    16,484.57x = 22,747.22 × 9,769.12
  4. Step 4: Simplify right side
    16,484.57x = 222,220,216.13
  5. Step 5: Solve for x
    x = 222,220,216.13/16,484.57
  6. Step 6: Final answer
    x = 13,480.50

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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.