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Finding the Fourth Proportional to 8,232.70, 12,345.41 and 5,914.48

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Solution

The fourth proportional to 8,232.70, 12,345.41 and 5,914.48 is: 8,869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.70 : 12,345.41 = 5,914.48 : x
  2. Step 2: Convert to fraction form
    8,232.70/12,345.41 = 5,914.48/x
  3. Step 3: Cross multiply
    8,232.70x = 12,345.41 × 5,914.48
  4. Step 4: Simplify right side
    8,232.70x = 73,016,650.96
  5. Step 5: Solve for x
    x = 73,016,650.96/8,232.70
  6. Step 6: Final answer
    x = 8,869.10

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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.