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Finding the Fourth Proportional to 6,049.35, 9,064.31 and 5,077.35

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Solution

The fourth proportional to 6,049.35, 9,064.31 and 5,077.35 is: 7,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.35 : 9,064.31 = 5,077.35 : x
  2. Step 2: Convert to fraction form
    6,049.35/9,064.31 = 5,077.35/x
  3. Step 3: Cross multiply
    6,049.35x = 9,064.31 × 5,077.35
  4. Step 4: Simplify right side
    6,049.35x = 46,022,648.99
  5. Step 5: Solve for x
    x = 46,022,648.99/6,049.35
  6. Step 6: Final answer
    x = 7,607.87

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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.