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Finding the Fourth Proportional to 9,949.84, 14,924.06 and 7,181.52

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Solution

The fourth proportional to 9,949.84, 14,924.06 and 7,181.52 is: 10,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.84 : 14,924.06 = 7,181.52 : x
  2. Step 2: Convert to fraction form
    9,949.84/14,924.06 = 7,181.52/x
  3. Step 3: Cross multiply
    9,949.84x = 14,924.06 × 7,181.52
  4. Step 4: Simplify right side
    9,949.84x = 107,177,435.37
  5. Step 5: Solve for x
    x = 107,177,435.37/9,949.84
  6. Step 6: Final answer
    x = 10,771.77

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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.