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Finding the Fourth Proportional to 6,863.40, 10,295.10 and 3,407.40

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Solution

The fourth proportional to 6,863.40, 10,295.10 and 3,407.40 is: 5,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.40 : 10,295.10 = 3,407.40 : x
  2. Step 2: Convert to fraction form
    6,863.40/10,295.10 = 3,407.40/x
  3. Step 3: Cross multiply
    6,863.40x = 10,295.10 × 3,407.40
  4. Step 4: Simplify right side
    6,863.40x = 35,079,523.74
  5. Step 5: Solve for x
    x = 35,079,523.74/6,863.40
  6. Step 6: Final answer
    x = 5,111.10

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1.5x scale

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.