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Finding the Fourth Proportional to 9,515.74, 14,274.42 and 2,495.74

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Solution

The fourth proportional to 9,515.74, 14,274.42 and 2,495.74 is: 3,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.74 : 14,274.42 = 2,495.74 : x
  2. Step 2: Convert to fraction form
    9,515.74/14,274.42 = 2,495.74/x
  3. Step 3: Cross multiply
    9,515.74x = 14,274.42 × 2,495.74
  4. Step 4: Simplify right side
    9,515.74x = 35,625,240.97
  5. Step 5: Solve for x
    x = 35,625,240.97/9,515.74
  6. Step 6: Final answer
    x = 3,743.82

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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.