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Finding the Fourth Proportional to 6,523.95, 9,786.03 and 1,593.68

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Solution

The fourth proportional to 6,523.95, 9,786.03 and 1,593.68 is: 2,390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.95 : 9,786.03 = 1,593.68 : x
  2. Step 2: Convert to fraction form
    6,523.95/9,786.03 = 1,593.68/x
  3. Step 3: Cross multiply
    6,523.95x = 9,786.03 × 1,593.68
  4. Step 4: Simplify right side
    6,523.95x = 15,595,800.29
  5. Step 5: Solve for x
    x = 15,595,800.29/6,523.95
  6. Step 6: Final answer
    x = 2,390.55

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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.