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Finding the Fourth Proportional to 3,464.03, 5,196.06 and 866.97

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Solution

The fourth proportional to 3,464.03, 5,196.06 and 866.97 is: 1,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.03 : 5,196.06 = 866.97 : x
  2. Step 2: Convert to fraction form
    3,464.03/5,196.06 = 866.97/x
  3. Step 3: Cross multiply
    3,464.03x = 5,196.06 × 866.97
  4. Step 4: Simplify right side
    3,464.03x = 4,504,828.14
  5. Step 5: Solve for x
    x = 4,504,828.14/3,464.03
  6. Step 6: Final answer
    x = 1,300.46

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Double scale
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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.