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Finding the Fourth Proportional to 9,170.02, 13,762 and 6,711.19

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Solution

The fourth proportional to 9,170.02, 13,762 and 6,711.19 is: 10,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.02 : 13,762 = 6,711.19 : x
  2. Step 2: Convert to fraction form
    9,170.02/13,762 = 6,711.19/x
  3. Step 3: Cross multiply
    9,170.02x = 13,762 × 6,711.19
  4. Step 4: Simplify right side
    9,170.02x = 92,359,396.78
  5. Step 5: Solve for x
    x = 92,359,396.78/9,170.02
  6. Step 6: Final answer
    x = 10,071.89

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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.