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Finding the Fourth Proportional to 6,578.46, 9,868.34 and 1,898.58

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Solution

The fourth proportional to 6,578.46, 9,868.34 and 1,898.58 is: 2,848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.46 : 9,868.34 = 1,898.58 : x
  2. Step 2: Convert to fraction form
    6,578.46/9,868.34 = 1,898.58/x
  3. Step 3: Cross multiply
    6,578.46x = 9,868.34 × 1,898.58
  4. Step 4: Simplify right side
    6,578.46x = 18,735,832.96
  5. Step 5: Solve for x
    x = 18,735,832.96/6,578.46
  6. Step 6: Final answer
    x = 2,848.06

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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.