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Finding the Fourth Proportional to 7,106.92, 9,809.22 and 4,453

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Solution

The fourth proportional to 7,106.92, 9,809.22 and 4,453 is: 6,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.92 : 9,809.22 = 4,453 : x
  2. Step 2: Convert to fraction form
    7,106.92/9,809.22 = 4,453/x
  3. Step 3: Cross multiply
    7,106.92x = 9,809.22 × 4,453
  4. Step 4: Simplify right side
    7,106.92x = 43,680,456.66
  5. Step 5: Solve for x
    x = 43,680,456.66/7,106.92
  6. Step 6: Final answer
    x = 6,146.19

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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.