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Finding the Fourth Proportional to 6,874.08, 9,477.88 and 5,809.92

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Solution

The fourth proportional to 6,874.08, 9,477.88 and 5,809.92 is: 8,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.08 : 9,477.88 = 5,809.92 : x
  2. Step 2: Convert to fraction form
    6,874.08/9,477.88 = 5,809.92/x
  3. Step 3: Cross multiply
    6,874.08x = 9,477.88 × 5,809.92
  4. Step 4: Simplify right side
    6,874.08x = 55,065,724.57
  5. Step 5: Solve for x
    x = 55,065,724.57/6,874.08
  6. Step 6: Final answer
    x = 8,010.63

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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.