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Finding the Fourth Proportional to 3,564.64, 5,346.92 and 967.56

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Solution

The fourth proportional to 3,564.64, 5,346.92 and 967.56 is: 1,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.64 : 5,346.92 = 967.56 : x
  2. Step 2: Convert to fraction form
    3,564.64/5,346.92 = 967.56/x
  3. Step 3: Cross multiply
    3,564.64x = 5,346.92 × 967.56
  4. Step 4: Simplify right side
    3,564.64x = 5,173,465.92
  5. Step 5: Solve for x
    x = 5,173,465.92/3,564.64
  6. Step 6: Final answer
    x = 1,451.33

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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.