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Finding the Fourth Proportional to 6,904.10, 10,334.10 and 5,446.10

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Solution

The fourth proportional to 6,904.10, 10,334.10 and 5,446.10 is: 8,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.10 : 10,334.10 = 5,446.10 : x
  2. Step 2: Convert to fraction form
    6,904.10/10,334.10 = 5,446.10/x
  3. Step 3: Cross multiply
    6,904.10x = 10,334.10 × 5,446.10
  4. Step 4: Simplify right side
    6,904.10x = 56,280,542.01
  5. Step 5: Solve for x
    x = 56,280,542.01/6,904.10
  6. Step 6: Final answer
    x = 8,151.76

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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.