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Finding the Fourth Proportional to 6,038.94, 9,059.63 and 2,143.65

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Solution

The fourth proportional to 6,038.94, 9,059.63 and 2,143.65 is: 3,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.94 : 9,059.63 = 2,143.65 : x
  2. Step 2: Convert to fraction form
    6,038.94/9,059.63 = 2,143.65/x
  3. Step 3: Cross multiply
    6,038.94x = 9,059.63 × 2,143.65
  4. Step 4: Simplify right side
    6,038.94x = 19,420,675.85
  5. Step 5: Solve for x
    x = 19,420,675.85/6,038.94
  6. Step 6: Final answer
    x = 3,215.91

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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.