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Finding the Fourth Proportional to 6,502.61, 9,753.30 and 1,822.20

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Solution

The fourth proportional to 6,502.61, 9,753.30 and 1,822.20 is: 2,733.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.61 : 9,753.30 = 1,822.20 : x
  2. Step 2: Convert to fraction form
    6,502.61/9,753.30 = 1,822.20/x
  3. Step 3: Cross multiply
    6,502.61x = 9,753.30 × 1,822.20
  4. Step 4: Simplify right side
    6,502.61x = 17,772,463.26
  5. Step 5: Solve for x
    x = 17,772,463.26/6,502.61
  6. Step 6: Final answer
    x = 2,733.13

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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.