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Finding the Fourth Proportional to 3,563.08, 5,344.58 and 966.02

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Solution

The fourth proportional to 3,563.08, 5,344.58 and 966.02 is: 1,449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.08 : 5,344.58 = 966.02 : x
  2. Step 2: Convert to fraction form
    3,563.08/5,344.58 = 966.02/x
  3. Step 3: Cross multiply
    3,563.08x = 5,344.58 × 966.02
  4. Step 4: Simplify right side
    3,563.08x = 5,162,946.86
  5. Step 5: Solve for x
    x = 5,162,946.86/3,563.08
  6. Step 6: Final answer
    x = 1,449.01

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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.