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Finding the Fourth Proportional to 6,470.57, 8,930.57 and 4,234.43

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Solution

The fourth proportional to 6,470.57, 8,930.57 and 4,234.43 is: 5,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.57 : 8,930.57 = 4,234.43 : x
  2. Step 2: Convert to fraction form
    6,470.57/8,930.57 = 4,234.43/x
  3. Step 3: Cross multiply
    6,470.57x = 8,930.57 × 4,234.43
  4. Step 4: Simplify right side
    6,470.57x = 37,815,807.70
  5. Step 5: Solve for x
    x = 37,815,807.70/6,470.57
  6. Step 6: Final answer
    x = 5,844.28

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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.