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Finding the Fourth Proportional to 3,673.74, 5,505.74 and 2,114.58

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Solution

The fourth proportional to 3,673.74, 5,505.74 and 2,114.58 is: 3,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.74 : 5,505.74 = 2,114.58 : x
  2. Step 2: Convert to fraction form
    3,673.74/5,505.74 = 2,114.58/x
  3. Step 3: Cross multiply
    3,673.74x = 5,505.74 × 2,114.58
  4. Step 4: Simplify right side
    3,673.74x = 11,642,327.69
  5. Step 5: Solve for x
    x = 11,642,327.69/3,673.74
  6. Step 6: Final answer
    x = 3,169.07

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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.