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Finding the Fourth Proportional to 6,907.64, 10,351.72 and 5,177.48

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Solution

The fourth proportional to 6,907.64, 10,351.72 and 5,177.48 is: 7,758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.64 : 10,351.72 = 5,177.48 : x
  2. Step 2: Convert to fraction form
    6,907.64/10,351.72 = 5,177.48/x
  3. Step 3: Cross multiply
    6,907.64x = 10,351.72 × 5,177.48
  4. Step 4: Simplify right side
    6,907.64x = 53,595,823.27
  5. Step 5: Solve for x
    x = 53,595,823.27/6,907.64
  6. Step 6: Final answer
    x = 7,758.92

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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.