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Finding the Fourth Proportional to 4,676.44, 6,450.76 and 3,020.44

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Solution

The fourth proportional to 4,676.44, 6,450.76 and 3,020.44 is: 4,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.44 : 6,450.76 = 3,020.44 : x
  2. Step 2: Convert to fraction form
    4,676.44/6,450.76 = 3,020.44/x
  3. Step 3: Cross multiply
    4,676.44x = 6,450.76 × 3,020.44
  4. Step 4: Simplify right side
    4,676.44x = 19,484,133.53
  5. Step 5: Solve for x
    x = 19,484,133.53/4,676.44
  6. Step 6: Final answer
    x = 4,166.45

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.