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Finding the Fourth Proportional to 7,853.74, 11,770.61 and 3,684.58

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Solution

The fourth proportional to 7,853.74, 11,770.61 and 3,684.58 is: 5,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.74 : 11,770.61 = 3,684.58 : x
  2. Step 2: Convert to fraction form
    7,853.74/11,770.61 = 3,684.58/x
  3. Step 3: Cross multiply
    7,853.74x = 11,770.61 × 3,684.58
  4. Step 4: Simplify right side
    7,853.74x = 43,369,706.34
  5. Step 5: Solve for x
    x = 43,369,706.34/7,853.74
  6. Step 6: Final answer
    x = 5,522.17

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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.