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Finding the Fourth Proportional to 6,470.43, 8,933.62 and 4,955.31

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Solution

The fourth proportional to 6,470.43, 8,933.62 and 4,955.31 is: 6,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.43 : 8,933.62 = 4,955.31 : x
  2. Step 2: Convert to fraction form
    6,470.43/8,933.62 = 4,955.31/x
  3. Step 3: Cross multiply
    6,470.43x = 8,933.62 × 4,955.31
  4. Step 4: Simplify right side
    6,470.43x = 44,268,854.08
  5. Step 5: Solve for x
    x = 44,268,854.08/6,470.43
  6. Step 6: Final answer
    x = 6,841.72

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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.