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Finding the Fourth Proportional to 7,105.11, 9,799.14 and 5,333.64

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Solution

The fourth proportional to 7,105.11, 9,799.14 and 5,333.64 is: 7,355.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.11 : 9,799.14 = 5,333.64 : x
  2. Step 2: Convert to fraction form
    7,105.11/9,799.14 = 5,333.64/x
  3. Step 3: Cross multiply
    7,105.11x = 9,799.14 × 5,333.64
  4. Step 4: Simplify right side
    7,105.11x = 52,265,085.07
  5. Step 5: Solve for x
    x = 52,265,085.07/7,105.11
  6. Step 6: Final answer
    x = 7,355.99

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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.