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Finding the Fourth Proportional to 9,014.12, 13,516.06 and 6,577

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Solution

The fourth proportional to 9,014.12, 13,516.06 and 6,577 is: 9,861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.12 : 13,516.06 = 6,577 : x
  2. Step 2: Convert to fraction form
    9,014.12/13,516.06 = 6,577/x
  3. Step 3: Cross multiply
    9,014.12x = 13,516.06 × 6,577
  4. Step 4: Simplify right side
    9,014.12x = 88,895,126.62
  5. Step 5: Solve for x
    x = 88,895,126.62/9,014.12
  6. Step 6: Final answer
    x = 9,861.76

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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.