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Finding the Fourth Proportional to 6,817.38, 9,410.63 and 4,298.96

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Solution

The fourth proportional to 6,817.38, 9,410.63 and 4,298.96 is: 5,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.38 : 9,410.63 = 4,298.96 : x
  2. Step 2: Convert to fraction form
    6,817.38/9,410.63 = 4,298.96/x
  3. Step 3: Cross multiply
    6,817.38x = 9,410.63 × 4,298.96
  4. Step 4: Simplify right side
    6,817.38x = 40,455,853.40
  5. Step 5: Solve for x
    x = 40,455,853.40/6,817.38
  6. Step 6: Final answer
    x = 5,934.22

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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.