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Finding the Fourth Proportional to 6,138, 9,199.83 and 2,627.01

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Solution

The fourth proportional to 6,138, 9,199.83 and 2,627.01 is: 3,937.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138 : 9,199.83 = 2,627.01 : x
  2. Step 2: Convert to fraction form
    6,138/9,199.83 = 2,627.01/x
  3. Step 3: Cross multiply
    6,138x = 9,199.83 × 2,627.01
  4. Step 4: Simplify right side
    6,138x = 24,168,045.41
  5. Step 5: Solve for x
    x = 24,168,045.41/6,138
  6. Step 6: Final answer
    x = 3,937.45

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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.