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Finding the Fourth Proportional to 6,756, 10,110.70 and 5,357.53

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Solution

The fourth proportional to 6,756, 10,110.70 and 5,357.53 is: 8,017.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756 : 10,110.70 = 5,357.53 : x
  2. Step 2: Convert to fraction form
    6,756/10,110.70 = 5,357.53/x
  3. Step 3: Cross multiply
    6,756x = 10,110.70 × 5,357.53
  4. Step 4: Simplify right side
    6,756x = 54,168,378.57
  5. Step 5: Solve for x
    x = 54,168,378.57/6,756
  6. Step 6: Final answer
    x = 8,017.82

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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.