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Finding the Fourth Proportional to 4,946.34, 7,419.60 and 2,768.94

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Solution

The fourth proportional to 4,946.34, 7,419.60 and 2,768.94 is: 4,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.34 : 7,419.60 = 2,768.94 : x
  2. Step 2: Convert to fraction form
    4,946.34/7,419.60 = 2,768.94/x
  3. Step 3: Cross multiply
    4,946.34x = 7,419.60 × 2,768.94
  4. Step 4: Simplify right side
    4,946.34x = 20,544,427.22
  5. Step 5: Solve for x
    x = 20,544,427.22/4,946.34
  6. Step 6: Final answer
    x = 4,153.46

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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.