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Finding the Fourth Proportional to 3,670.50, 5,506.56 and 1,073.64

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Solution

The fourth proportional to 3,670.50, 5,506.56 and 1,073.64 is: 1,610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.50 : 5,506.56 = 1,073.64 : x
  2. Step 2: Convert to fraction form
    3,670.50/5,506.56 = 1,073.64/x
  3. Step 3: Cross multiply
    3,670.50x = 5,506.56 × 1,073.64
  4. Step 4: Simplify right side
    3,670.50x = 5,912,063.08
  5. Step 5: Solve for x
    x = 5,912,063.08/3,670.50
  6. Step 6: Final answer
    x = 1,610.70

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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.