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Finding the Fourth Proportional to 7,107.36, 9,799.44 and 5,844

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Solution

The fourth proportional to 7,107.36, 9,799.44 and 5,844 is: 8,057.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.36 : 9,799.44 = 5,844 : x
  2. Step 2: Convert to fraction form
    7,107.36/9,799.44 = 5,844/x
  3. Step 3: Cross multiply
    7,107.36x = 9,799.44 × 5,844
  4. Step 4: Simplify right side
    7,107.36x = 57,267,927.36
  5. Step 5: Solve for x
    x = 57,267,927.36/7,107.36
  6. Step 6: Final answer
    x = 8,057.55

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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.