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Finding the Fourth Proportional to 7,104.06, 9,806.94 and 4,717.80

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Solution

The fourth proportional to 7,104.06, 9,806.94 and 4,717.80 is: 6,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.06 : 9,806.94 = 4,717.80 : x
  2. Step 2: Convert to fraction form
    7,104.06/9,806.94 = 4,717.80/x
  3. Step 3: Cross multiply
    7,104.06x = 9,806.94 × 4,717.80
  4. Step 4: Simplify right side
    7,104.06x = 46,267,181.53
  5. Step 5: Solve for x
    x = 46,267,181.53/7,104.06
  6. Step 6: Final answer
    x = 6,512.78

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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.