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Finding the Fourth Proportional to 9,944.46, 14,902.74 and 7,855.29

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Solution

The fourth proportional to 9,944.46, 14,902.74 and 7,855.29 is: 11,771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.46 : 14,902.74 = 7,855.29 : x
  2. Step 2: Convert to fraction form
    9,944.46/14,902.74 = 7,855.29/x
  3. Step 3: Cross multiply
    9,944.46x = 14,902.74 × 7,855.29
  4. Step 4: Simplify right side
    9,944.46x = 117,065,344.49
  5. Step 5: Solve for x
    x = 117,065,344.49/9,944.46
  6. Step 6: Final answer
    x = 11,771.92

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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.