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Finding the Fourth Proportional to 6,859.36, 9,466.50 and 5,738.32

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Solution

The fourth proportional to 6,859.36, 9,466.50 and 5,738.32 is: 7,919.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.36 : 9,466.50 = 5,738.32 : x
  2. Step 2: Convert to fraction form
    6,859.36/9,466.50 = 5,738.32/x
  3. Step 3: Cross multiply
    6,859.36x = 9,466.50 × 5,738.32
  4. Step 4: Simplify right side
    6,859.36x = 54,321,806.28
  5. Step 5: Solve for x
    x = 54,321,806.28/6,859.36
  6. Step 6: Final answer
    x = 7,919.37

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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.