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Finding the Fourth Proportional to 6,137.70, 9,217.44 and 5,029.22

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Solution

The fourth proportional to 6,137.70, 9,217.44 and 5,029.22 is: 7,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.70 : 9,217.44 = 5,029.22 : x
  2. Step 2: Convert to fraction form
    6,137.70/9,217.44 = 5,029.22/x
  3. Step 3: Cross multiply
    6,137.70x = 9,217.44 × 5,029.22
  4. Step 4: Simplify right side
    6,137.70x = 46,356,487.51
  5. Step 5: Solve for x
    x = 46,356,487.51/6,137.70
  6. Step 6: Final answer
    x = 7,552.75

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1.5x scale

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.