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Finding the Fourth Proportional to 6,536.10, 9,015.86 and 6,098.70

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Solution

The fourth proportional to 6,536.10, 9,015.86 and 6,098.70 is: 8,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.10 : 9,015.86 = 6,098.70 : x
  2. Step 2: Convert to fraction form
    6,536.10/9,015.86 = 6,098.70/x
  3. Step 3: Cross multiply
    6,536.10x = 9,015.86 × 6,098.70
  4. Step 4: Simplify right side
    6,536.10x = 54,985,025.38
  5. Step 5: Solve for x
    x = 54,985,025.38/6,536.10
  6. Step 6: Final answer
    x = 8,412.51

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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.