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Finding the Fourth Proportional to 3,464.06, 5,196.09 and 866.99

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Solution

The fourth proportional to 3,464.06, 5,196.09 and 866.99 is: 1,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.06 : 5,196.09 = 866.99 : x
  2. Step 2: Convert to fraction form
    3,464.06/5,196.09 = 866.99/x
  3. Step 3: Cross multiply
    3,464.06x = 5,196.09 × 866.99
  4. Step 4: Simplify right side
    3,464.06x = 4,504,953.73
  5. Step 5: Solve for x
    x = 4,504,953.73/3,464.06
  6. Step 6: Final answer
    x = 1,300.49

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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.