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Finding the Fourth Proportional to 6,539.80, 9,809.70 and 3,467.80

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Solution

The fourth proportional to 6,539.80, 9,809.70 and 3,467.80 is: 5,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.80 : 9,809.70 = 3,467.80 : x
  2. Step 2: Convert to fraction form
    6,539.80/9,809.70 = 3,467.80/x
  3. Step 3: Cross multiply
    6,539.80x = 9,809.70 × 3,467.80
  4. Step 4: Simplify right side
    6,539.80x = 34,018,077.66
  5. Step 5: Solve for x
    x = 34,018,077.66/6,539.80
  6. Step 6: Final answer
    x = 5,201.70

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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.