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Finding the Fourth Proportional to 7,706.54, 11,538.25 and 4,926.22

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Solution

The fourth proportional to 7,706.54, 11,538.25 and 4,926.22 is: 7,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.54 : 11,538.25 = 4,926.22 : x
  2. Step 2: Convert to fraction form
    7,706.54/11,538.25 = 4,926.22/x
  3. Step 3: Cross multiply
    7,706.54x = 11,538.25 × 4,926.22
  4. Step 4: Simplify right side
    7,706.54x = 56,839,916.75
  5. Step 5: Solve for x
    x = 56,839,916.75/7,706.54
  6. Step 6: Final answer
    x = 7,375.54

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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.