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Finding the Fourth Proportional to 9,357.10, 13,994.34 and 8,324.38

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Solution

The fourth proportional to 9,357.10, 13,994.34 and 8,324.38 is: 12,449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.10 : 13,994.34 = 8,324.38 : x
  2. Step 2: Convert to fraction form
    9,357.10/13,994.34 = 8,324.38/x
  3. Step 3: Cross multiply
    9,357.10x = 13,994.34 × 8,324.38
  4. Step 4: Simplify right side
    9,357.10x = 116,494,204.01
  5. Step 5: Solve for x
    x = 116,494,204.01/9,357.10
  6. Step 6: Final answer
    x = 12,449.82

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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.