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Finding the Fourth Proportional to 9,135.56, 13,703.22 and 2,210

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Solution

The fourth proportional to 9,135.56, 13,703.22 and 2,210 is: 3,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.56 : 13,703.22 = 2,210 : x
  2. Step 2: Convert to fraction form
    9,135.56/13,703.22 = 2,210/x
  3. Step 3: Cross multiply
    9,135.56x = 13,703.22 × 2,210
  4. Step 4: Simplify right side
    9,135.56x = 30,284,116.20
  5. Step 5: Solve for x
    x = 30,284,116.20/9,135.56
  6. Step 6: Final answer
    x = 3,314.97

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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.