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Finding the Fourth Proportional to 6,574.06, 9,860.33 and 1,894.49

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Solution

The fourth proportional to 6,574.06, 9,860.33 and 1,894.49 is: 2,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.06 : 9,860.33 = 1,894.49 : x
  2. Step 2: Convert to fraction form
    6,574.06/9,860.33 = 1,894.49/x
  3. Step 3: Cross multiply
    6,574.06x = 9,860.33 × 1,894.49
  4. Step 4: Simplify right side
    6,574.06x = 18,680,288.99
  5. Step 5: Solve for x
    x = 18,680,288.99/6,574.06
  6. Step 6: Final answer
    x = 2,841.51

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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.