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Finding the Fourth Proportional to 6,433.68, 8,878.80 and 5,034

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Solution

The fourth proportional to 6,433.68, 8,878.80 and 5,034 is: 6,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.68 : 8,878.80 = 5,034 : x
  2. Step 2: Convert to fraction form
    6,433.68/8,878.80 = 5,034/x
  3. Step 3: Cross multiply
    6,433.68x = 8,878.80 × 5,034
  4. Step 4: Simplify right side
    6,433.68x = 44,695,879.20
  5. Step 5: Solve for x
    x = 44,695,879.20/6,433.68
  6. Step 6: Final answer
    x = 6,947.17

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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.