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Finding the Fourth Proportional to 6,145.38, 9,215.19 and 2,038.50

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Solution

The fourth proportional to 6,145.38, 9,215.19 and 2,038.50 is: 3,056.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.38 : 9,215.19 = 2,038.50 : x
  2. Step 2: Convert to fraction form
    6,145.38/9,215.19 = 2,038.50/x
  3. Step 3: Cross multiply
    6,145.38x = 9,215.19 × 2,038.50
  4. Step 4: Simplify right side
    6,145.38x = 18,785,164.82
  5. Step 5: Solve for x
    x = 18,785,164.82/6,145.38
  6. Step 6: Final answer
    x = 3,056.79

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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.