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Finding the Fourth Proportional to 6,818.47, 9,409.42 and 3,834.32

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Solution

The fourth proportional to 6,818.47, 9,409.42 and 3,834.32 is: 5,291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,818.47 : 9,409.42 = 3,834.32 : x
  2. Step 2: Convert to fraction form
    6,818.47/9,409.42 = 3,834.32/x
  3. Step 3: Cross multiply
    6,818.47x = 9,409.42 × 3,834.32
  4. Step 4: Simplify right side
    6,818.47x = 36,078,732.58
  5. Step 5: Solve for x
    x = 36,078,732.58/6,818.47
  6. Step 6: Final answer
    x = 5,291.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.