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Finding the Fourth Proportional to 9,704.57, 14,534.97 and 6,795.86

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Solution

The fourth proportional to 9,704.57, 14,534.97 and 6,795.86 is: 10,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.57 : 14,534.97 = 6,795.86 : x
  2. Step 2: Convert to fraction form
    9,704.57/14,534.97 = 6,795.86/x
  3. Step 3: Cross multiply
    9,704.57x = 14,534.97 × 6,795.86
  4. Step 4: Simplify right side
    9,704.57x = 98,777,548.55
  5. Step 5: Solve for x
    x = 98,777,548.55/9,704.57
  6. Step 6: Final answer
    x = 10,178.46

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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.