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Finding the Fourth Proportional to 6,138, 8,466.66 and 4,372.02

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Solution

The fourth proportional to 6,138, 8,466.66 and 4,372.02 is: 6,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138 : 8,466.66 = 4,372.02 : x
  2. Step 2: Convert to fraction form
    6,138/8,466.66 = 4,372.02/x
  3. Step 3: Cross multiply
    6,138x = 8,466.66 × 4,372.02
  4. Step 4: Simplify right side
    6,138x = 37,016,406.85
  5. Step 5: Solve for x
    x = 37,016,406.85/6,138
  6. Step 6: Final answer
    x = 6,030.70

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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.