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Finding the Fourth Proportional to 10,069.70, 15,089.15 and 6,770.57

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Solution

The fourth proportional to 10,069.70, 15,089.15 and 6,770.57 is: 10,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.70 : 15,089.15 = 6,770.57 : x
  2. Step 2: Convert to fraction form
    10,069.70/15,089.15 = 6,770.57/x
  3. Step 3: Cross multiply
    10,069.70x = 15,089.15 × 6,770.57
  4. Step 4: Simplify right side
    10,069.70x = 102,162,087.80
  5. Step 5: Solve for x
    x = 102,162,087.80/10,069.70
  6. Step 6: Final answer
    x = 10,145.50

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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.