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Finding the Fourth Proportional to 5,975.64, 8,964.07 and 1,593.14

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Solution

The fourth proportional to 5,975.64, 8,964.07 and 1,593.14 is: 2,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,975.64 : 8,964.07 = 1,593.14 : x
  2. Step 2: Convert to fraction form
    5,975.64/8,964.07 = 1,593.14/x
  3. Step 3: Cross multiply
    5,975.64x = 8,964.07 × 1,593.14
  4. Step 4: Simplify right side
    5,975.64x = 14,280,969.68
  5. Step 5: Solve for x
    x = 14,280,969.68/5,975.64
  6. Step 6: Final answer
    x = 2,389.86

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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.