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Finding the Fourth Proportional to 7,794.92, 11,709.58 and 6,758.12

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Solution

The fourth proportional to 7,794.92, 11,709.58 and 6,758.12 is: 10,152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.92 : 11,709.58 = 6,758.12 : x
  2. Step 2: Convert to fraction form
    7,794.92/11,709.58 = 6,758.12/x
  3. Step 3: Cross multiply
    7,794.92x = 11,709.58 × 6,758.12
  4. Step 4: Simplify right side
    7,794.92x = 79,134,746.79
  5. Step 5: Solve for x
    x = 79,134,746.79/7,794.92
  6. Step 6: Final answer
    x = 10,152.09

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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.