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Finding the Fourth Proportional to 23,809.62, 35,706.15 and 9,765.66

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Solution

The fourth proportional to 23,809.62, 35,706.15 and 9,765.66 is: 14,645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.62 : 35,706.15 = 9,765.66 : x
  2. Step 2: Convert to fraction form
    23,809.62/35,706.15 = 9,765.66/x
  3. Step 3: Cross multiply
    23,809.62x = 35,706.15 × 9,765.66
  4. Step 4: Simplify right side
    23,809.62x = 348,694,120.81
  5. Step 5: Solve for x
    x = 348,694,120.81/23,809.62
  6. Step 6: Final answer
    x = 14,645.09

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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.