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Finding the Fourth Proportional to 6,584.88, 9,086.04 and 4,226.56

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Solution

The fourth proportional to 6,584.88, 9,086.04 and 4,226.56 is: 5,831.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.88 : 9,086.04 = 4,226.56 : x
  2. Step 2: Convert to fraction form
    6,584.88/9,086.04 = 4,226.56/x
  3. Step 3: Cross multiply
    6,584.88x = 9,086.04 × 4,226.56
  4. Step 4: Simplify right side
    6,584.88x = 38,402,693.22
  5. Step 5: Solve for x
    x = 38,402,693.22/6,584.88
  6. Step 6: Final answer
    x = 5,831.95

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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.