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Finding the Fourth Proportional to 3,662.51, 5,493.57 and 1,197.02

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Solution

The fourth proportional to 3,662.51, 5,493.57 and 1,197.02 is: 1,795.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.51 : 5,493.57 = 1,197.02 : x
  2. Step 2: Convert to fraction form
    3,662.51/5,493.57 = 1,197.02/x
  3. Step 3: Cross multiply
    3,662.51x = 5,493.57 × 1,197.02
  4. Step 4: Simplify right side
    3,662.51x = 6,575,885.69
  5. Step 5: Solve for x
    x = 6,575,885.69/3,662.51
  6. Step 6: Final answer
    x = 1,795.46

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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.