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Finding the Fourth Proportional to 9,491, 13,093.21 and 6,134.89

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Solution

The fourth proportional to 9,491, 13,093.21 and 6,134.89 is: 8,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491 : 13,093.21 = 6,134.89 : x
  2. Step 2: Convert to fraction form
    9,491/13,093.21 = 6,134.89/x
  3. Step 3: Cross multiply
    9,491x = 13,093.21 × 6,134.89
  4. Step 4: Simplify right side
    9,491x = 80,325,403.10
  5. Step 5: Solve for x
    x = 80,325,403.10/9,491
  6. Step 6: Final answer
    x = 8,463.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.