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Finding the Fourth Proportional to 9,712.74, 14,576.73 and 6,771.90

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Solution

The fourth proportional to 9,712.74, 14,576.73 and 6,771.90 is: 10,163.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.74 : 14,576.73 = 6,771.90 : x
  2. Step 2: Convert to fraction form
    9,712.74/14,576.73 = 6,771.90/x
  3. Step 3: Cross multiply
    9,712.74x = 14,576.73 × 6,771.90
  4. Step 4: Simplify right side
    9,712.74x = 98,712,157.89
  5. Step 5: Solve for x
    x = 98,712,157.89/9,712.74
  6. Step 6: Final answer
    x = 10,163.16

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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.