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Finding the Fourth Proportional to 7,706.34, 11,559.42 and 3,092.58

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Solution

The fourth proportional to 7,706.34, 11,559.42 and 3,092.58 is: 4,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.34 : 11,559.42 = 3,092.58 : x
  2. Step 2: Convert to fraction form
    7,706.34/11,559.42 = 3,092.58/x
  3. Step 3: Cross multiply
    7,706.34x = 11,559.42 × 3,092.58
  4. Step 4: Simplify right side
    7,706.34x = 35,748,431.10
  5. Step 5: Solve for x
    x = 35,748,431.10/7,706.34
  6. Step 6: Final answer
    x = 4,638.83

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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.