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Finding the Fourth Proportional to 4,471.82, 6,707 and 1,185.12

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Solution

The fourth proportional to 4,471.82, 6,707 and 1,185.12 is: 1,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.82 : 6,707 = 1,185.12 : x
  2. Step 2: Convert to fraction form
    4,471.82/6,707 = 1,185.12/x
  3. Step 3: Cross multiply
    4,471.82x = 6,707 × 1,185.12
  4. Step 4: Simplify right side
    4,471.82x = 7,948,599.84
  5. Step 5: Solve for x
    x = 7,948,599.84/4,471.82
  6. Step 6: Final answer
    x = 1,777.49

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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.