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Finding the Fourth Proportional to 6,874.94, 10,293.92 and 5,657.06

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Solution

The fourth proportional to 6,874.94, 10,293.92 and 5,657.06 is: 8,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.94 : 10,293.92 = 5,657.06 : x
  2. Step 2: Convert to fraction form
    6,874.94/10,293.92 = 5,657.06/x
  3. Step 3: Cross multiply
    6,874.94x = 10,293.92 × 5,657.06
  4. Step 4: Simplify right side
    6,874.94x = 58,233,323.08
  5. Step 5: Solve for x
    x = 58,233,323.08/6,874.94
  6. Step 6: Final answer
    x = 8,470.38

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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.