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Finding the Fourth Proportional to 9,758.74, 14,629.14 and 3,517.22

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Solution

The fourth proportional to 9,758.74, 14,629.14 and 3,517.22 is: 5,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.74 : 14,629.14 = 3,517.22 : x
  2. Step 2: Convert to fraction form
    9,758.74/14,629.14 = 3,517.22/x
  3. Step 3: Cross multiply
    9,758.74x = 14,629.14 × 3,517.22
  4. Step 4: Simplify right side
    9,758.74x = 51,453,967.79
  5. Step 5: Solve for x
    x = 51,453,967.79/9,758.74
  6. Step 6: Final answer
    x = 5,272.60

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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.