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Finding the Fourth Proportional to 8,230.34, 12,342.44 and 2,963.92

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Solution

The fourth proportional to 8,230.34, 12,342.44 and 2,963.92 is: 4,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.34 : 12,342.44 = 2,963.92 : x
  2. Step 2: Convert to fraction form
    8,230.34/12,342.44 = 2,963.92/x
  3. Step 3: Cross multiply
    8,230.34x = 12,342.44 × 2,963.92
  4. Step 4: Simplify right side
    8,230.34x = 36,582,004.76
  5. Step 5: Solve for x
    x = 36,582,004.76/8,230.34
  6. Step 6: Final answer
    x = 4,444.77

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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.