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Finding the Fourth Proportional to 9,760.74, 14,632.14 and 3,519.22

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Solution

The fourth proportional to 9,760.74, 14,632.14 and 3,519.22 is: 5,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.74 : 14,632.14 = 3,519.22 : x
  2. Step 2: Convert to fraction form
    9,760.74/14,632.14 = 3,519.22/x
  3. Step 3: Cross multiply
    9,760.74x = 14,632.14 × 3,519.22
  4. Step 4: Simplify right side
    9,760.74x = 51,493,719.73
  5. Step 5: Solve for x
    x = 51,493,719.73/9,760.74
  6. Step 6: Final answer
    x = 5,275.60

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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.