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Finding the Fourth Proportional to 8,433.92, 12,657.12 and 6,809.92

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Solution

The fourth proportional to 8,433.92, 12,657.12 and 6,809.92 is: 10,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.92 : 12,657.12 = 6,809.92 : x
  2. Step 2: Convert to fraction form
    8,433.92/12,657.12 = 6,809.92/x
  3. Step 3: Cross multiply
    8,433.92x = 12,657.12 × 6,809.92
  4. Step 4: Simplify right side
    8,433.92x = 86,193,974.63
  5. Step 5: Solve for x
    x = 86,193,974.63/8,433.92
  6. Step 6: Final answer
    x = 10,219.92

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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.