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Finding the Fourth Proportional to 6,012, 9,014.40 and 2,497.77

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Solution

The fourth proportional to 6,012, 9,014.40 and 2,497.77 is: 3,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012 : 9,014.40 = 2,497.77 : x
  2. Step 2: Convert to fraction form
    6,012/9,014.40 = 2,497.77/x
  3. Step 3: Cross multiply
    6,012x = 9,014.40 × 2,497.77
  4. Step 4: Simplify right side
    6,012x = 22,515,897.89
  5. Step 5: Solve for x
    x = 22,515,897.89/6,012
  6. Step 6: Final answer
    x = 3,745.16

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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.