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Finding the Fourth Proportional to 6,187.50, 9,282.71 and 2,083.50

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Solution

The fourth proportional to 6,187.50, 9,282.71 and 2,083.50 is: 3,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.50 : 9,282.71 = 2,083.50 : x
  2. Step 2: Convert to fraction form
    6,187.50/9,282.71 = 2,083.50/x
  3. Step 3: Cross multiply
    6,187.50x = 9,282.71 × 2,083.50
  4. Step 4: Simplify right side
    6,187.50x = 19,340,526.29
  5. Step 5: Solve for x
    x = 19,340,526.29/6,187.50
  6. Step 6: Final answer
    x = 3,125.74

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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.