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Finding the Fourth Proportional to 6,137.40, 8,464.08 and 5,195.24

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Solution

The fourth proportional to 6,137.40, 8,464.08 and 5,195.24 is: 7,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.40 : 8,464.08 = 5,195.24 : x
  2. Step 2: Convert to fraction form
    6,137.40/8,464.08 = 5,195.24/x
  3. Step 3: Cross multiply
    6,137.40x = 8,464.08 × 5,195.24
  4. Step 4: Simplify right side
    6,137.40x = 43,972,926.98
  5. Step 5: Solve for x
    x = 43,972,926.98/6,137.40
  6. Step 6: Final answer
    x = 7,164.75

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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.