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Finding the Fourth Proportional to 6,906.76, 10,356.12 and 4,718.12

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Solution

The fourth proportional to 6,906.76, 10,356.12 and 4,718.12 is: 7,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.76 : 10,356.12 = 4,718.12 : x
  2. Step 2: Convert to fraction form
    6,906.76/10,356.12 = 4,718.12/x
  3. Step 3: Cross multiply
    6,906.76x = 10,356.12 × 4,718.12
  4. Step 4: Simplify right side
    6,906.76x = 48,861,416.89
  5. Step 5: Solve for x
    x = 48,861,416.89/6,906.76
  6. Step 6: Final answer
    x = 7,074.43

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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.