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Finding the Fourth Proportional to 6,982.51, 10,473.49 and 2,365.51

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Solution

The fourth proportional to 6,982.51, 10,473.49 and 2,365.51 is: 3,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.51 : 10,473.49 = 2,365.51 : x
  2. Step 2: Convert to fraction form
    6,982.51/10,473.49 = 2,365.51/x
  3. Step 3: Cross multiply
    6,982.51x = 10,473.49 × 2,365.51
  4. Step 4: Simplify right side
    6,982.51x = 24,775,145.33
  5. Step 5: Solve for x
    x = 24,775,145.33/6,982.51
  6. Step 6: Final answer
    x = 3,548.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.