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Finding the Fourth Proportional to 6,574.62, 9,862.02 and 1,894.71

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Solution

The fourth proportional to 6,574.62, 9,862.02 and 1,894.71 is: 2,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.62 : 9,862.02 = 1,894.71 : x
  2. Step 2: Convert to fraction form
    6,574.62/9,862.02 = 1,894.71/x
  3. Step 3: Cross multiply
    6,574.62x = 9,862.02 × 1,894.71
  4. Step 4: Simplify right side
    6,574.62x = 18,685,667.91
  5. Step 5: Solve for x
    x = 18,685,667.91/6,574.62
  6. Step 6: Final answer
    x = 2,842.09

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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.