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Finding the Fourth Proportional to 6,483, 9,732.06 and 3,020.52

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Solution

The fourth proportional to 6,483, 9,732.06 and 3,020.52 is: 4,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483 : 9,732.06 = 3,020.52 : x
  2. Step 2: Convert to fraction form
    6,483/9,732.06 = 3,020.52/x
  3. Step 3: Cross multiply
    6,483x = 9,732.06 × 3,020.52
  4. Step 4: Simplify right side
    6,483x = 29,395,881.87
  5. Step 5: Solve for x
    x = 29,395,881.87/6,483
  6. Step 6: Final answer
    x = 4,534.30

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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.