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Finding the Fourth Proportional to 7,077.62, 9,766.91 and 4,093.99

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Solution

The fourth proportional to 7,077.62, 9,766.91 and 4,093.99 is: 5,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.62 : 9,766.91 = 4,093.99 : x
  2. Step 2: Convert to fraction form
    7,077.62/9,766.91 = 4,093.99/x
  3. Step 3: Cross multiply
    7,077.62x = 9,766.91 × 4,093.99
  4. Step 4: Simplify right side
    7,077.62x = 39,985,617.69
  5. Step 5: Solve for x
    x = 39,985,617.69/7,077.62
  6. Step 6: Final answer
    x = 5,649.58

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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.