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Finding the Fourth Proportional to 7,101.07, 9,799.04 and 3,914.22

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Solution

The fourth proportional to 7,101.07, 9,799.04 and 3,914.22 is: 5,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.07 : 9,799.04 = 3,914.22 : x
  2. Step 2: Convert to fraction form
    7,101.07/9,799.04 = 3,914.22/x
  3. Step 3: Cross multiply
    7,101.07x = 9,799.04 × 3,914.22
  4. Step 4: Simplify right side
    7,101.07x = 38,355,644.88
  5. Step 5: Solve for x
    x = 38,355,644.88/7,101.07
  6. Step 6: Final answer
    x = 5,401.39

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1.5x scale

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.