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Finding the Fourth Proportional to 5,694.72, 8,523.68 and 5,155.84

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Solution

The fourth proportional to 5,694.72, 8,523.68 and 5,155.84 is: 7,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.72 : 8,523.68 = 5,155.84 : x
  2. Step 2: Convert to fraction form
    5,694.72/8,523.68 = 5,155.84/x
  3. Step 3: Cross multiply
    5,694.72x = 8,523.68 × 5,155.84
  4. Step 4: Simplify right side
    5,694.72x = 43,946,730.29
  5. Step 5: Solve for x
    x = 43,946,730.29/5,694.72
  6. Step 6: Final answer
    x = 7,717.10

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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.