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Finding the Fourth Proportional to 4,660.98, 6,430.04 and 2,771.49

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Solution

The fourth proportional to 4,660.98, 6,430.04 and 2,771.49 is: 3,823.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.98 : 6,430.04 = 2,771.49 : x
  2. Step 2: Convert to fraction form
    4,660.98/6,430.04 = 2,771.49/x
  3. Step 3: Cross multiply
    4,660.98x = 6,430.04 × 2,771.49
  4. Step 4: Simplify right side
    4,660.98x = 17,820,791.56
  5. Step 5: Solve for x
    x = 17,820,791.56/4,660.98
  6. Step 6: Final answer
    x = 3,823.40

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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.