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Finding the Fourth Proportional to 4,783.67, 7,174.48 and 1,496.34

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Solution

The fourth proportional to 4,783.67, 7,174.48 and 1,496.34 is: 2,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.67 : 7,174.48 = 1,496.34 : x
  2. Step 2: Convert to fraction form
    4,783.67/7,174.48 = 1,496.34/x
  3. Step 3: Cross multiply
    4,783.67x = 7,174.48 × 1,496.34
  4. Step 4: Simplify right side
    4,783.67x = 10,735,425.53
  5. Step 5: Solve for x
    x = 10,735,425.53/4,783.67
  6. Step 6: Final answer
    x = 2,244.18

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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.