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Finding the Fourth Proportional to 4,966.74, 7,450.83 and 1,504.26

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Solution

The fourth proportional to 4,966.74, 7,450.83 and 1,504.26 is: 2,256.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.74 : 7,450.83 = 1,504.26 : x
  2. Step 2: Convert to fraction form
    4,966.74/7,450.83 = 1,504.26/x
  3. Step 3: Cross multiply
    4,966.74x = 7,450.83 × 1,504.26
  4. Step 4: Simplify right side
    4,966.74x = 11,207,985.54
  5. Step 5: Solve for x
    x = 11,207,985.54/4,966.74
  6. Step 6: Final answer
    x = 2,256.61

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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.