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Finding the Fourth Proportional to 6,774.63, 9,343.74 and 5,177.31

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Solution

The fourth proportional to 6,774.63, 9,343.74 and 5,177.31 is: 7,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.63 : 9,343.74 = 5,177.31 : x
  2. Step 2: Convert to fraction form
    6,774.63/9,343.74 = 5,177.31/x
  3. Step 3: Cross multiply
    6,774.63x = 9,343.74 × 5,177.31
  4. Step 4: Simplify right side
    6,774.63x = 48,375,438.54
  5. Step 5: Solve for x
    x = 48,375,438.54/6,774.63
  6. Step 6: Final answer
    x = 7,140.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.