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Finding the Fourth Proportional to 3,263, 4,893.46 and 1,071.22

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Solution

The fourth proportional to 3,263, 4,893.46 and 1,071.22 is: 1,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263 : 4,893.46 = 1,071.22 : x
  2. Step 2: Convert to fraction form
    3,263/4,893.46 = 1,071.22/x
  3. Step 3: Cross multiply
    3,263x = 4,893.46 × 1,071.22
  4. Step 4: Simplify right side
    3,263x = 5,241,972.22
  5. Step 5: Solve for x
    x = 5,241,972.22/3,263
  6. Step 6: Final answer
    x = 1,606.49

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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.