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Finding the Fourth Proportional to 9,241.74, 12,749.13 and 5,880.78

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Solution

The fourth proportional to 9,241.74, 12,749.13 and 5,880.78 is: 8,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.74 : 12,749.13 = 5,880.78 : x
  2. Step 2: Convert to fraction form
    9,241.74/12,749.13 = 5,880.78/x
  3. Step 3: Cross multiply
    9,241.74x = 12,749.13 × 5,880.78
  4. Step 4: Simplify right side
    9,241.74x = 74,974,828.72
  5. Step 5: Solve for x
    x = 74,974,828.72/9,241.74
  6. Step 6: Final answer
    x = 8,112.63

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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.