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Finding the Fourth Proportional to 11,792.82, 17,770.35 and 9,758.60

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Solution

The fourth proportional to 11,792.82, 17,770.35 and 9,758.60 is: 14,705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.82 : 17,770.35 = 9,758.60 : x
  2. Step 2: Convert to fraction form
    11,792.82/17,770.35 = 9,758.60/x
  3. Step 3: Cross multiply
    11,792.82x = 17,770.35 × 9,758.60
  4. Step 4: Simplify right side
    11,792.82x = 173,413,737.51
  5. Step 5: Solve for x
    x = 173,413,737.51/11,792.82
  6. Step 6: Final answer
    x = 14,705.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.