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Finding the Fourth Proportional to 6,083.54, 9,125.28 and 1,466.54

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Solution

The fourth proportional to 6,083.54, 9,125.28 and 1,466.54 is: 2,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.54 : 9,125.28 = 1,466.54 : x
  2. Step 2: Convert to fraction form
    6,083.54/9,125.28 = 1,466.54/x
  3. Step 3: Cross multiply
    6,083.54x = 9,125.28 × 1,466.54
  4. Step 4: Simplify right side
    6,083.54x = 13,382,542.50
  5. Step 5: Solve for x
    x = 13,382,542.50/6,083.54
  6. Step 6: Final answer
    x = 2,199.80

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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.