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Finding the Fourth Proportional to 6,474.96, 9,705.32 and 3,695.57

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Solution

The fourth proportional to 6,474.96, 9,705.32 and 3,695.57 is: 5,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.96 : 9,705.32 = 3,695.57 : x
  2. Step 2: Convert to fraction form
    6,474.96/9,705.32 = 3,695.57/x
  3. Step 3: Cross multiply
    6,474.96x = 9,705.32 × 3,695.57
  4. Step 4: Simplify right side
    6,474.96x = 35,866,622.43
  5. Step 5: Solve for x
    x = 35,866,622.43/6,474.96
  6. Step 6: Final answer
    x = 5,539.28

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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.