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Finding the Fourth Proportional to 7,069.50, 10,609.12 and 2,452.50

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Solution

The fourth proportional to 7,069.50, 10,609.12 and 2,452.50 is: 3,680.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,069.50 : 10,609.12 = 2,452.50 : x
  2. Step 2: Convert to fraction form
    7,069.50/10,609.12 = 2,452.50/x
  3. Step 3: Cross multiply
    7,069.50x = 10,609.12 × 2,452.50
  4. Step 4: Simplify right side
    7,069.50x = 26,018,866.80
  5. Step 5: Solve for x
    x = 26,018,866.80/7,069.50
  6. Step 6: Final answer
    x = 3,680.44

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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.