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Finding the Fourth Proportional to 6,266.64, 9,400.02 and 1,649.64

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Solution

The fourth proportional to 6,266.64, 9,400.02 and 1,649.64 is: 2,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.64 : 9,400.02 = 1,649.64 : x
  2. Step 2: Convert to fraction form
    6,266.64/9,400.02 = 1,649.64/x
  3. Step 3: Cross multiply
    6,266.64x = 9,400.02 × 1,649.64
  4. Step 4: Simplify right side
    6,266.64x = 15,506,648.99
  5. Step 5: Solve for x
    x = 15,506,648.99/6,266.64
  6. Step 6: Final answer
    x = 2,474.48

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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.