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Finding the Fourth Proportional to 6,432.27, 8,880.74 and 4,947.94

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Solution

The fourth proportional to 6,432.27, 8,880.74 and 4,947.94 is: 6,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.27 : 8,880.74 = 4,947.94 : x
  2. Step 2: Convert to fraction form
    6,432.27/8,880.74 = 4,947.94/x
  3. Step 3: Cross multiply
    6,432.27x = 8,880.74 × 4,947.94
  4. Step 4: Simplify right side
    6,432.27x = 43,941,368.68
  5. Step 5: Solve for x
    x = 43,941,368.68/6,432.27
  6. Step 6: Final answer
    x = 6,831.39

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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.