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Finding the Fourth Proportional to 9,305.49, 12,837.94 and 5,324.47

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Solution

The fourth proportional to 9,305.49, 12,837.94 and 5,324.47 is: 7,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.49 : 12,837.94 = 5,324.47 : x
  2. Step 2: Convert to fraction form
    9,305.49/12,837.94 = 5,324.47/x
  3. Step 3: Cross multiply
    9,305.49x = 12,837.94 × 5,324.47
  4. Step 4: Simplify right side
    9,305.49x = 68,355,226.39
  5. Step 5: Solve for x
    x = 68,355,226.39/9,305.49
  6. Step 6: Final answer
    x = 7,345.69

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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.