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Finding the Fourth Proportional to 10,706.73, 14,776.07 and 5,990.72

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Solution

The fourth proportional to 10,706.73, 14,776.07 and 5,990.72 is: 8,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.73 : 14,776.07 = 5,990.72 : x
  2. Step 2: Convert to fraction form
    10,706.73/14,776.07 = 5,990.72/x
  3. Step 3: Cross multiply
    10,706.73x = 14,776.07 × 5,990.72
  4. Step 4: Simplify right side
    10,706.73x = 88,519,194.24
  5. Step 5: Solve for x
    x = 88,519,194.24/10,706.73
  6. Step 6: Final answer
    x = 8,267.62

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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.