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Finding the Fourth Proportional to 6,545, 9,804.36 and 3,248.12

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Solution

The fourth proportional to 6,545, 9,804.36 and 3,248.12 is: 4,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545 : 9,804.36 = 3,248.12 : x
  2. Step 2: Convert to fraction form
    6,545/9,804.36 = 3,248.12/x
  3. Step 3: Cross multiply
    6,545x = 9,804.36 × 3,248.12
  4. Step 4: Simplify right side
    6,545x = 31,845,737.80
  5. Step 5: Solve for x
    x = 31,845,737.80/6,545
  6. Step 6: Final answer
    x = 4,865.66

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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.