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Finding the Fourth Proportional to 6,274.70, 9,410.70 and 2,764.70

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Solution

The fourth proportional to 6,274.70, 9,410.70 and 2,764.70 is: 4,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.70 : 9,410.70 = 2,764.70 : x
  2. Step 2: Convert to fraction form
    6,274.70/9,410.70 = 2,764.70/x
  3. Step 3: Cross multiply
    6,274.70x = 9,410.70 × 2,764.70
  4. Step 4: Simplify right side
    6,274.70x = 26,017,762.29
  5. Step 5: Solve for x
    x = 26,017,762.29/6,274.70
  6. Step 6: Final answer
    x = 4,146.46

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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.