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Finding the Fourth Proportional to 7,101.54, 9,800.13 and 3,914.89

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Solution

The fourth proportional to 7,101.54, 9,800.13 and 3,914.89 is: 5,402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.54 : 9,800.13 = 3,914.89 : x
  2. Step 2: Convert to fraction form
    7,101.54/9,800.13 = 3,914.89/x
  3. Step 3: Cross multiply
    7,101.54x = 9,800.13 × 3,914.89
  4. Step 4: Simplify right side
    7,101.54x = 38,366,411.36
  5. Step 5: Solve for x
    x = 38,366,411.36/7,101.54
  6. Step 6: Final answer
    x = 5,402.55

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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.