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Finding the Fourth Proportional to 16,309.54, 24,461.22 and 6,947.80

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Solution

The fourth proportional to 16,309.54, 24,461.22 and 6,947.80 is: 10,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.54 : 24,461.22 = 6,947.80 : x
  2. Step 2: Convert to fraction form
    16,309.54/24,461.22 = 6,947.80/x
  3. Step 3: Cross multiply
    16,309.54x = 24,461.22 × 6,947.80
  4. Step 4: Simplify right side
    16,309.54x = 169,951,664.32
  5. Step 5: Solve for x
    x = 169,951,664.32/16,309.54
  6. Step 6: Final answer
    x = 10,420.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.