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Finding the Fourth Proportional to 3,770.46, 5,655.56 and 997.14

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Solution

The fourth proportional to 3,770.46, 5,655.56 and 997.14 is: 1,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.46 : 5,655.56 = 997.14 : x
  2. Step 2: Convert to fraction form
    3,770.46/5,655.56 = 997.14/x
  3. Step 3: Cross multiply
    3,770.46x = 5,655.56 × 997.14
  4. Step 4: Simplify right side
    3,770.46x = 5,639,401.32
  5. Step 5: Solve for x
    x = 5,639,401.32/3,770.46
  6. Step 6: Final answer
    x = 1,495.68

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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.