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Finding the Fourth Proportional to 4,966.26, 7,448.94 and 1,679.38

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Solution

The fourth proportional to 4,966.26, 7,448.94 and 1,679.38 is: 2,518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.26 : 7,448.94 = 1,679.38 : x
  2. Step 2: Convert to fraction form
    4,966.26/7,448.94 = 1,679.38/x
  3. Step 3: Cross multiply
    4,966.26x = 7,448.94 × 1,679.38
  4. Step 4: Simplify right side
    4,966.26x = 12,509,619.41
  5. Step 5: Solve for x
    x = 12,509,619.41/4,966.26
  6. Step 6: Final answer
    x = 2,518.92

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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.