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Finding the Fourth Proportional to 11,846.46, 16,348.02 and 6,541.56

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Solution

The fourth proportional to 11,846.46, 16,348.02 and 6,541.56 is: 9,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.46 : 16,348.02 = 6,541.56 : x
  2. Step 2: Convert to fraction form
    11,846.46/16,348.02 = 6,541.56/x
  3. Step 3: Cross multiply
    11,846.46x = 16,348.02 × 6,541.56
  4. Step 4: Simplify right side
    11,846.46x = 106,941,553.71
  5. Step 5: Solve for x
    x = 106,941,553.71/11,846.46
  6. Step 6: Final answer
    x = 9,027.30

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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.