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Finding the Fourth Proportional to 6,097.80, 8,416.50 and 3,446.80

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Solution

The fourth proportional to 6,097.80, 8,416.50 and 3,446.80 is: 4,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.80 : 8,416.50 = 3,446.80 : x
  2. Step 2: Convert to fraction form
    6,097.80/8,416.50 = 3,446.80/x
  3. Step 3: Cross multiply
    6,097.80x = 8,416.50 × 3,446.80
  4. Step 4: Simplify right side
    6,097.80x = 29,009,992.20
  5. Step 5: Solve for x
    x = 29,009,992.20/6,097.80
  6. Step 6: Final answer
    x = 4,757.45

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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.