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Finding the Fourth Proportional to 6,282.74, 9,422.89 and 5,970.48

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Solution

The fourth proportional to 6,282.74, 9,422.89 and 5,970.48 is: 8,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.74 : 9,422.89 = 5,970.48 : x
  2. Step 2: Convert to fraction form
    6,282.74/9,422.89 = 5,970.48/x
  3. Step 3: Cross multiply
    6,282.74x = 9,422.89 × 5,970.48
  4. Step 4: Simplify right side
    6,282.74x = 56,259,146.43
  5. Step 5: Solve for x
    x = 56,259,146.43/6,282.74
  6. Step 6: Final answer
    x = 8,954.56

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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.