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Finding the Fourth Proportional to 6,510.93, 9,764.46 and 2,812.29

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Solution

The fourth proportional to 6,510.93, 9,764.46 and 2,812.29 is: 4,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.93 : 9,764.46 = 2,812.29 : x
  2. Step 2: Convert to fraction form
    6,510.93/9,764.46 = 2,812.29/x
  3. Step 3: Cross multiply
    6,510.93x = 9,764.46 × 2,812.29
  4. Step 4: Simplify right side
    6,510.93x = 27,460,493.21
  5. Step 5: Solve for x
    x = 27,460,493.21/6,510.93
  6. Step 6: Final answer
    x = 4,217.60

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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.