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Finding the Fourth Proportional to 6,283.09, 9,424.88 and 2,335.39

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Solution

The fourth proportional to 6,283.09, 9,424.88 and 2,335.39 is: 3,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.09 : 9,424.88 = 2,335.39 : x
  2. Step 2: Convert to fraction form
    6,283.09/9,424.88 = 2,335.39/x
  3. Step 3: Cross multiply
    6,283.09x = 9,424.88 × 2,335.39
  4. Step 4: Simplify right side
    6,283.09x = 22,010,770.50
  5. Step 5: Solve for x
    x = 22,010,770.50/6,283.09
  6. Step 6: Final answer
    x = 3,503.18

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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.