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Finding the Fourth Proportional to 6,546, 9,033.52 and 3,602

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Solution

The fourth proportional to 6,546, 9,033.52 and 3,602 is: 4,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546 : 9,033.52 = 3,602 : x
  2. Step 2: Convert to fraction form
    6,546/9,033.52 = 3,602/x
  3. Step 3: Cross multiply
    6,546x = 9,033.52 × 3,602
  4. Step 4: Simplify right side
    6,546x = 32,538,739.04
  5. Step 5: Solve for x
    x = 32,538,739.04/6,546
  6. Step 6: Final answer
    x = 4,970.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.