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Finding the Fourth Proportional to 6,507.78, 9,756.27 and 3,736.50

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Solution

The fourth proportional to 6,507.78, 9,756.27 and 3,736.50 is: 5,601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.78 : 9,756.27 = 3,736.50 : x
  2. Step 2: Convert to fraction form
    6,507.78/9,756.27 = 3,736.50/x
  3. Step 3: Cross multiply
    6,507.78x = 9,756.27 × 3,736.50
  4. Step 4: Simplify right side
    6,507.78x = 36,454,302.86
  5. Step 5: Solve for x
    x = 36,454,302.86/6,507.78
  6. Step 6: Final answer
    x = 5,601.65

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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.