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Finding the Fourth Proportional to 6,770.72, 10,146 and 5,303.36

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Solution

The fourth proportional to 6,770.72, 10,146 and 5,303.36 is: 7,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.72 : 10,146 = 5,303.36 : x
  2. Step 2: Convert to fraction form
    6,770.72/10,146 = 5,303.36/x
  3. Step 3: Cross multiply
    6,770.72x = 10,146 × 5,303.36
  4. Step 4: Simplify right side
    6,770.72x = 53,807,890.56
  5. Step 5: Solve for x
    x = 53,807,890.56/6,770.72
  6. Step 6: Final answer
    x = 7,947.14

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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.