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Finding the Fourth Proportional to 6,103.64, 9,145 and 4,098.58

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Solution

The fourth proportional to 6,103.64, 9,145 and 4,098.58 is: 6,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.64 : 9,145 = 4,098.58 : x
  2. Step 2: Convert to fraction form
    6,103.64/9,145 = 4,098.58/x
  3. Step 3: Cross multiply
    6,103.64x = 9,145 × 4,098.58
  4. Step 4: Simplify right side
    6,103.64x = 37,481,479.81
  5. Step 5: Solve for x
    x = 37,481,479.81/6,103.64
  6. Step 6: Final answer
    x = 6,140.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.