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Finding the Fourth Proportional to 6,859.86, 9,467.19 and 5,738.82

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Solution

The fourth proportional to 6,859.86, 9,467.19 and 5,738.82 is: 7,920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.86 : 9,467.19 = 5,738.82 : x
  2. Step 2: Convert to fraction form
    6,859.86/9,467.19 = 5,738.82/x
  3. Step 3: Cross multiply
    6,859.86x = 9,467.19 × 5,738.82
  4. Step 4: Simplify right side
    6,859.86x = 54,330,499.32
  5. Step 5: Solve for x
    x = 54,330,499.32/6,859.86
  6. Step 6: Final answer
    x = 7,920.06

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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.