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Finding the Fourth Proportional to 9,246.75, 12,760.52 and 5,940.51

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Solution

The fourth proportional to 9,246.75, 12,760.52 and 5,940.51 is: 8,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.75 : 12,760.52 = 5,940.51 : x
  2. Step 2: Convert to fraction form
    9,246.75/12,760.52 = 5,940.51/x
  3. Step 3: Cross multiply
    9,246.75x = 12,760.52 × 5,940.51
  4. Step 4: Simplify right side
    9,246.75x = 75,803,966.96
  5. Step 5: Solve for x
    x = 75,803,966.96/9,246.75
  6. Step 6: Final answer
    x = 8,197.90

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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.