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Finding the Fourth Proportional to 4,709, 6,498.41 and 2,584.54

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Solution

The fourth proportional to 4,709, 6,498.41 and 2,584.54 is: 3,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709 : 6,498.41 = 2,584.54 : x
  2. Step 2: Convert to fraction form
    4,709/6,498.41 = 2,584.54/x
  3. Step 3: Cross multiply
    4,709x = 6,498.41 × 2,584.54
  4. Step 4: Simplify right side
    4,709x = 16,795,400.58
  5. Step 5: Solve for x
    x = 16,795,400.58/4,709
  6. Step 6: Final answer
    x = 3,566.66

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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.