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Finding the Fourth Proportional to 6,164.56, 9,252.78 and 5,831.56

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Solution

The fourth proportional to 6,164.56, 9,252.78 and 5,831.56 is: 8,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.56 : 9,252.78 = 5,831.56 : x
  2. Step 2: Convert to fraction form
    6,164.56/9,252.78 = 5,831.56/x
  3. Step 3: Cross multiply
    6,164.56x = 9,252.78 × 5,831.56
  4. Step 4: Simplify right side
    6,164.56x = 53,958,141.74
  5. Step 5: Solve for x
    x = 53,958,141.74/6,164.56
  6. Step 6: Final answer
    x = 8,752.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.