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Finding the Fourth Proportional to 6,764.70, 10,148.01 and 2,085.10

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Solution

The fourth proportional to 6,764.70, 10,148.01 and 2,085.10 is: 3,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.70 : 10,148.01 = 2,085.10 : x
  2. Step 2: Convert to fraction form
    6,764.70/10,148.01 = 2,085.10/x
  3. Step 3: Cross multiply
    6,764.70x = 10,148.01 × 2,085.10
  4. Step 4: Simplify right side
    6,764.70x = 21,159,615.65
  5. Step 5: Solve for x
    x = 21,159,615.65/6,764.70
  6. Step 6: Final answer
    x = 3,127.95

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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.