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Finding the Fourth Proportional to 6,502.84, 9,750.15 and 3,583.19

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Solution

The fourth proportional to 6,502.84, 9,750.15 and 3,583.19 is: 5,372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.84 : 9,750.15 = 3,583.19 : x
  2. Step 2: Convert to fraction form
    6,502.84/9,750.15 = 3,583.19/x
  3. Step 3: Cross multiply
    6,502.84x = 9,750.15 × 3,583.19
  4. Step 4: Simplify right side
    6,502.84x = 34,936,664.35
  5. Step 5: Solve for x
    x = 34,936,664.35/6,502.84
  6. Step 6: Final answer
    x = 5,372.53

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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.