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Finding the Fourth Proportional to 6,266.37, 9,401.40 and 1,884.50

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Solution

The fourth proportional to 6,266.37, 9,401.40 and 1,884.50 is: 2,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.37 : 9,401.40 = 1,884.50 : x
  2. Step 2: Convert to fraction form
    6,266.37/9,401.40 = 1,884.50/x
  3. Step 3: Cross multiply
    6,266.37x = 9,401.40 × 1,884.50
  4. Step 4: Simplify right side
    6,266.37x = 17,716,938.30
  5. Step 5: Solve for x
    x = 17,716,938.30/6,266.37
  6. Step 6: Final answer
    x = 2,827.30

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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.