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Finding the Fourth Proportional to 6,785.46, 9,355.50 and 4,391.46

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Solution

The fourth proportional to 6,785.46, 9,355.50 and 4,391.46 is: 6,054.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.46 : 9,355.50 = 4,391.46 : x
  2. Step 2: Convert to fraction form
    6,785.46/9,355.50 = 4,391.46/x
  3. Step 3: Cross multiply
    6,785.46x = 9,355.50 × 4,391.46
  4. Step 4: Simplify right side
    6,785.46x = 41,084,304.03
  5. Step 5: Solve for x
    x = 41,084,304.03/6,785.46
  6. Step 6: Final answer
    x = 6,054.76

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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.