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Finding the Fourth Proportional to 7,163, 9,886.02 and 4,370.12

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Solution

The fourth proportional to 7,163, 9,886.02 and 4,370.12 is: 6,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163 : 9,886.02 = 4,370.12 : x
  2. Step 2: Convert to fraction form
    7,163/9,886.02 = 4,370.12/x
  3. Step 3: Cross multiply
    7,163x = 9,886.02 × 4,370.12
  4. Step 4: Simplify right side
    7,163x = 43,203,093.72
  5. Step 5: Solve for x
    x = 43,203,093.72/7,163
  6. Step 6: Final answer
    x = 6,031.42

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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.