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Finding the Fourth Proportional to 7,077.81, 9,767.03 and 4,093.92

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Solution

The fourth proportional to 7,077.81, 9,767.03 and 4,093.92 is: 5,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.81 : 9,767.03 = 4,093.92 : x
  2. Step 2: Convert to fraction form
    7,077.81/9,767.03 = 4,093.92/x
  3. Step 3: Cross multiply
    7,077.81x = 9,767.03 × 4,093.92
  4. Step 4: Simplify right side
    7,077.81x = 39,985,418.99
  5. Step 5: Solve for x
    x = 39,985,418.99/7,077.81
  6. Step 6: Final answer
    x = 5,649.41

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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.