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Finding the Fourth Proportional to 6,328.53, 9,494.42 and 1,946.43

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Solution

The fourth proportional to 6,328.53, 9,494.42 and 1,946.43 is: 2,920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.53 : 9,494.42 = 1,946.43 : x
  2. Step 2: Convert to fraction form
    6,328.53/9,494.42 = 1,946.43/x
  3. Step 3: Cross multiply
    6,328.53x = 9,494.42 × 1,946.43
  4. Step 4: Simplify right side
    6,328.53x = 18,480,214.19
  5. Step 5: Solve for x
    x = 18,480,214.19/6,328.53
  6. Step 6: Final answer
    x = 2,920.14

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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.