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Finding the Fourth Proportional to 6,122.61, 8,441.73 and 5,176.71

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Solution

The fourth proportional to 6,122.61, 8,441.73 and 5,176.71 is: 7,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.61 : 8,441.73 = 5,176.71 : x
  2. Step 2: Convert to fraction form
    6,122.61/8,441.73 = 5,176.71/x
  3. Step 3: Cross multiply
    6,122.61x = 8,441.73 × 5,176.71
  4. Step 4: Simplify right side
    6,122.61x = 43,700,388.11
  5. Step 5: Solve for x
    x = 43,700,388.11/6,122.61
  6. Step 6: Final answer
    x = 7,137.54

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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.