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Finding the Fourth Proportional to 6,525.46, 9,770.82 and 4,449.55

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Solution

The fourth proportional to 6,525.46, 9,770.82 and 4,449.55 is: 6,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.46 : 9,770.82 = 4,449.55 : x
  2. Step 2: Convert to fraction form
    6,525.46/9,770.82 = 4,449.55/x
  3. Step 3: Cross multiply
    6,525.46x = 9,770.82 × 4,449.55
  4. Step 4: Simplify right side
    6,525.46x = 43,475,752.13
  5. Step 5: Solve for x
    x = 43,475,752.13/6,525.46
  6. Step 6: Final answer
    x = 6,662.48

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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.