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Finding the Fourth Proportional to 3,564.21, 5,346.30 and 967.15

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Solution

The fourth proportional to 3,564.21, 5,346.30 and 967.15 is: 1,450.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.21 : 5,346.30 = 967.15 : x
  2. Step 2: Convert to fraction form
    3,564.21/5,346.30 = 967.15/x
  3. Step 3: Cross multiply
    3,564.21x = 5,346.30 × 967.15
  4. Step 4: Simplify right side
    3,564.21x = 5,170,669.21
  5. Step 5: Solve for x
    x = 5,170,669.21/3,564.21
  6. Step 6: Final answer
    x = 1,450.72

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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.