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Finding the Fourth Proportional to 4,709.94, 6,497.27 and 2,794.65

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Solution

The fourth proportional to 4,709.94, 6,497.27 and 2,794.65 is: 3,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.94 : 6,497.27 = 2,794.65 : x
  2. Step 2: Convert to fraction form
    4,709.94/6,497.27 = 2,794.65/x
  3. Step 3: Cross multiply
    4,709.94x = 6,497.27 × 2,794.65
  4. Step 4: Simplify right side
    4,709.94x = 18,157,588.62
  5. Step 5: Solve for x
    x = 18,157,588.62/4,709.94
  6. Step 6: Final answer
    x = 3,855.16

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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.