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Finding the Fourth Proportional to 7,016.01, 9,682.08 and 4,498.11

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Solution

The fourth proportional to 7,016.01, 9,682.08 and 4,498.11 is: 6,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.01 : 9,682.08 = 4,498.11 : x
  2. Step 2: Convert to fraction form
    7,016.01/9,682.08 = 4,498.11/x
  3. Step 3: Cross multiply
    7,016.01x = 9,682.08 × 4,498.11
  4. Step 4: Simplify right side
    7,016.01x = 43,551,060.87
  5. Step 5: Solve for x
    x = 43,551,060.87/7,016.01
  6. Step 6: Final answer
    x = 6,207.38

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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.