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Finding the Fourth Proportional to 7,171.02, 10,756.53 and 2,241

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Solution

The fourth proportional to 7,171.02, 10,756.53 and 2,241 is: 3,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.02 : 10,756.53 = 2,241 : x
  2. Step 2: Convert to fraction form
    7,171.02/10,756.53 = 2,241/x
  3. Step 3: Cross multiply
    7,171.02x = 10,756.53 × 2,241
  4. Step 4: Simplify right side
    7,171.02x = 24,105,383.73
  5. Step 5: Solve for x
    x = 24,105,383.73/7,171.02
  6. Step 6: Final answer
    x = 3,361.50

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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.