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Finding the Fourth Proportional to 6,285.68, 9,470.46 and 5,693.44

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Solution

The fourth proportional to 6,285.68, 9,470.46 and 5,693.44 is: 8,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.68 : 9,470.46 = 5,693.44 : x
  2. Step 2: Convert to fraction form
    6,285.68/9,470.46 = 5,693.44/x
  3. Step 3: Cross multiply
    6,285.68x = 9,470.46 × 5,693.44
  4. Step 4: Simplify right side
    6,285.68x = 53,919,495.78
  5. Step 5: Solve for x
    x = 53,919,495.78/6,285.68
  6. Step 6: Final answer
    x = 8,578.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.