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Finding the Fourth Proportional to 6,136.16, 9,203.12 and 1,752.54

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Solution

The fourth proportional to 6,136.16, 9,203.12 and 1,752.54 is: 2,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.16 : 9,203.12 = 1,752.54 : x
  2. Step 2: Convert to fraction form
    6,136.16/9,203.12 = 1,752.54/x
  3. Step 3: Cross multiply
    6,136.16x = 9,203.12 × 1,752.54
  4. Step 4: Simplify right side
    6,136.16x = 16,128,799.22
  5. Step 5: Solve for x
    x = 16,128,799.22/6,136.16
  6. Step 6: Final answer
    x = 2,628.49

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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.