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Finding the Fourth Proportional to 6,305.85, 8,705.81 and 5,605.20

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Solution

The fourth proportional to 6,305.85, 8,705.81 and 5,605.20 is: 7,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.85 : 8,705.81 = 5,605.20 : x
  2. Step 2: Convert to fraction form
    6,305.85/8,705.81 = 5,605.20/x
  3. Step 3: Cross multiply
    6,305.85x = 8,705.81 × 5,605.20
  4. Step 4: Simplify right side
    6,305.85x = 48,797,820.23
  5. Step 5: Solve for x
    x = 48,797,820.23/6,305.85
  6. Step 6: Final answer
    x = 7,738.50

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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.