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Finding the Fourth Proportional to 9,992.88, 13,790.12 and 5,516.91

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Solution

The fourth proportional to 9,992.88, 13,790.12 and 5,516.91 is: 7,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.88 : 13,790.12 = 5,516.91 : x
  2. Step 2: Convert to fraction form
    9,992.88/13,790.12 = 5,516.91/x
  3. Step 3: Cross multiply
    9,992.88x = 13,790.12 × 5,516.91
  4. Step 4: Simplify right side
    9,992.88x = 76,078,823.34
  5. Step 5: Solve for x
    x = 76,078,823.34/9,992.88
  6. Step 6: Final answer
    x = 7,613.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.