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Finding the Fourth Proportional to 6,805.74, 9,395.25 and 5,289.73

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Solution

The fourth proportional to 6,805.74, 9,395.25 and 5,289.73 is: 7,302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.74 : 9,395.25 = 5,289.73 : x
  2. Step 2: Convert to fraction form
    6,805.74/9,395.25 = 5,289.73/x
  3. Step 3: Cross multiply
    6,805.74x = 9,395.25 × 5,289.73
  4. Step 4: Simplify right side
    6,805.74x = 49,698,335.78
  5. Step 5: Solve for x
    x = 49,698,335.78/6,805.74
  6. Step 6: Final answer
    x = 7,302.41

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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.