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Finding the Fourth Proportional to 6,943.52, 9,578.48 and 4,704.63

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Solution

The fourth proportional to 6,943.52, 9,578.48 and 4,704.63 is: 6,489.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.52 : 9,578.48 = 4,704.63 : x
  2. Step 2: Convert to fraction form
    6,943.52/9,578.48 = 4,704.63/x
  3. Step 3: Cross multiply
    6,943.52x = 9,578.48 × 4,704.63
  4. Step 4: Simplify right side
    6,943.52x = 45,063,180.84
  5. Step 5: Solve for x
    x = 45,063,180.84/6,943.52
  6. Step 6: Final answer
    x = 6,489.97

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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.