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Finding the Fourth Proportional to 6,506, 9,760.23 and 2,610.71

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Solution

The fourth proportional to 6,506, 9,760.23 and 2,610.71 is: 3,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506 : 9,760.23 = 2,610.71 : x
  2. Step 2: Convert to fraction form
    6,506/9,760.23 = 2,610.71/x
  3. Step 3: Cross multiply
    6,506x = 9,760.23 × 2,610.71
  4. Step 4: Simplify right side
    6,506x = 25,481,130.06
  5. Step 5: Solve for x
    x = 25,481,130.06/6,506
  6. Step 6: Final answer
    x = 3,916.56

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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.