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Finding the Fourth Proportional to 9,246.75, 12,760.52 and 5,055

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Solution

The fourth proportional to 9,246.75, 12,760.52 and 5,055 is: 6,975.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.75 : 12,760.52 = 5,055 : x
  2. Step 2: Convert to fraction form
    9,246.75/12,760.52 = 5,055/x
  3. Step 3: Cross multiply
    9,246.75x = 12,760.52 × 5,055
  4. Step 4: Simplify right side
    9,246.75x = 64,504,403.33
  5. Step 5: Solve for x
    x = 64,504,403.33/9,246.75
  6. Step 6: Final answer
    x = 6,975.90

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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.