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Finding the Fourth Proportional to 6,950, 10,429.02 and 2,570.48

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Solution

The fourth proportional to 6,950, 10,429.02 and 2,570.48 is: 3,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950 : 10,429.02 = 2,570.48 : x
  2. Step 2: Convert to fraction form
    6,950/10,429.02 = 2,570.48/x
  3. Step 3: Cross multiply
    6,950x = 10,429.02 × 2,570.48
  4. Step 4: Simplify right side
    6,950x = 26,807,587.33
  5. Step 5: Solve for x
    x = 26,807,587.33/6,950
  6. Step 6: Final answer
    x = 3,857.21

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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.