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Finding the Fourth Proportional to 9,150.75, 12,628.04 and 4,959

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Solution

The fourth proportional to 9,150.75, 12,628.04 and 4,959 is: 6,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.75 : 12,628.04 = 4,959 : x
  2. Step 2: Convert to fraction form
    9,150.75/12,628.04 = 4,959/x
  3. Step 3: Cross multiply
    9,150.75x = 12,628.04 × 4,959
  4. Step 4: Simplify right side
    9,150.75x = 62,622,425.57
  5. Step 5: Solve for x
    x = 62,622,425.57/9,150.75
  6. Step 6: Final answer
    x = 6,843.42

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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.