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Finding the Fourth Proportional to 8,409.60, 11,604.98 and 5,006.61

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Solution

The fourth proportional to 8,409.60, 11,604.98 and 5,006.61 is: 6,908.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.60 : 11,604.98 = 5,006.61 : x
  2. Step 2: Convert to fraction form
    8,409.60/11,604.98 = 5,006.61/x
  3. Step 3: Cross multiply
    8,409.60x = 11,604.98 × 5,006.61
  4. Step 4: Simplify right side
    8,409.60x = 58,101,583.88
  5. Step 5: Solve for x
    x = 58,101,583.88/8,409.60
  6. Step 6: Final answer
    x = 6,908.96

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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.