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Finding the Fourth Proportional to 4,756.22, 7,134.09 and 1,636.22

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Solution

The fourth proportional to 4,756.22, 7,134.09 and 1,636.22 is: 2,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.22 : 7,134.09 = 1,636.22 : x
  2. Step 2: Convert to fraction form
    4,756.22/7,134.09 = 1,636.22/x
  3. Step 3: Cross multiply
    4,756.22x = 7,134.09 × 1,636.22
  4. Step 4: Simplify right side
    4,756.22x = 11,672,940.74
  5. Step 5: Solve for x
    x = 11,672,940.74/4,756.22
  6. Step 6: Final answer
    x = 2,454.25

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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.