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Finding the Fourth Proportional to 6,228.64, 8,632.63 and 6,112.00

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Solution

The fourth proportional to 6,228.64, 8,632.63 and 6,112.00 is: 8,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.64 : 8,632.63 = 6,112.00 : x
  2. Step 2: Convert to fraction form
    6,228.64/8,632.63 = 6,112.00/x
  3. Step 3: Cross multiply
    6,228.64x = 8,632.63 × 6,112.00
  4. Step 4: Simplify right side
    6,228.64x = 52,762,635.80
  5. Step 5: Solve for x
    x = 52,762,635.80/6,228.64
  6. Step 6: Final answer
    x = 8,470.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.