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Finding the Fourth Proportional to 6,805.92, 9,384.48 and 5,809.44

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Solution

The fourth proportional to 6,805.92, 9,384.48 and 5,809.44 is: 8,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.92 : 9,384.48 = 5,809.44 : x
  2. Step 2: Convert to fraction form
    6,805.92/9,384.48 = 5,809.44/x
  3. Step 3: Cross multiply
    6,805.92x = 9,384.48 × 5,809.44
  4. Step 4: Simplify right side
    6,805.92x = 54,518,573.49
  5. Step 5: Solve for x
    x = 54,518,573.49/6,805.92
  6. Step 6: Final answer
    x = 8,010.46

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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.