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Finding the Fourth Proportional to 6,530.12, 9,008.52 and 3,734

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Solution

The fourth proportional to 6,530.12, 9,008.52 and 3,734 is: 5,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.12 : 9,008.52 = 3,734 : x
  2. Step 2: Convert to fraction form
    6,530.12/9,008.52 = 3,734/x
  3. Step 3: Cross multiply
    6,530.12x = 9,008.52 × 3,734
  4. Step 4: Simplify right side
    6,530.12x = 33,637,813.68
  5. Step 5: Solve for x
    x = 33,637,813.68/6,530.12
  6. Step 6: Final answer
    x = 5,151.18

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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.