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Finding the Fourth Proportional to 4,633.97, 6,944.31 and 4,384.49

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Solution

The fourth proportional to 4,633.97, 6,944.31 and 4,384.49 is: 6,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.97 : 6,944.31 = 4,384.49 : x
  2. Step 2: Convert to fraction form
    4,633.97/6,944.31 = 4,384.49/x
  3. Step 3: Cross multiply
    4,633.97x = 6,944.31 × 4,384.49
  4. Step 4: Simplify right side
    4,633.97x = 30,447,223.03
  5. Step 5: Solve for x
    x = 30,447,223.03/4,633.97
  6. Step 6: Final answer
    x = 6,570.45

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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.