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Finding the Fourth Proportional to 6,501.65, 9,753.08 and 1,821.65

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Solution

The fourth proportional to 6,501.65, 9,753.08 and 1,821.65 is: 2,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.65 : 9,753.08 = 1,821.65 : x
  2. Step 2: Convert to fraction form
    6,501.65/9,753.08 = 1,821.65/x
  3. Step 3: Cross multiply
    6,501.65x = 9,753.08 × 1,821.65
  4. Step 4: Simplify right side
    6,501.65x = 17,766,640.31
  5. Step 5: Solve for x
    x = 17,766,640.31/6,501.65
  6. Step 6: Final answer
    x = 2,732.64

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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.