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Finding the Fourth Proportional to 9,403.74, 12,986.44 and 7,411.14

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Solution

The fourth proportional to 9,403.74, 12,986.44 and 7,411.14 is: 10,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.74 : 12,986.44 = 7,411.14 : x
  2. Step 2: Convert to fraction form
    9,403.74/12,986.44 = 7,411.14/x
  3. Step 3: Cross multiply
    9,403.74x = 12,986.44 × 7,411.14
  4. Step 4: Simplify right side
    9,403.74x = 96,244,324.94
  5. Step 5: Solve for x
    x = 96,244,324.94/9,403.74
  6. Step 6: Final answer
    x = 10,234.69

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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.