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Finding the Fourth Proportional to 9,944.46, 14,902.74 and 7,855.32

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Solution

The fourth proportional to 9,944.46, 14,902.74 and 7,855.32 is: 11,771.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.46 : 14,902.74 = 7,855.32 : x
  2. Step 2: Convert to fraction form
    9,944.46/14,902.74 = 7,855.32/x
  3. Step 3: Cross multiply
    9,944.46x = 14,902.74 × 7,855.32
  4. Step 4: Simplify right side
    9,944.46x = 117,065,791.58
  5. Step 5: Solve for x
    x = 117,065,791.58/9,944.46
  6. Step 6: Final answer
    x = 11,771.96

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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.