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Finding the Fourth Proportional to 6,272.76, 9,409.14 and 1,593.12

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Solution

The fourth proportional to 6,272.76, 9,409.14 and 1,593.12 is: 2,389.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.76 : 9,409.14 = 1,593.12 : x
  2. Step 2: Convert to fraction form
    6,272.76/9,409.14 = 1,593.12/x
  3. Step 3: Cross multiply
    6,272.76x = 9,409.14 × 1,593.12
  4. Step 4: Simplify right side
    6,272.76x = 14,989,850.85
  5. Step 5: Solve for x
    x = 14,989,850.85/6,272.76
  6. Step 6: Final answer
    x = 2,389.68

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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.