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Finding the Fourth Proportional to 4,709.75, 7,064.63 and 1,631.75

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Solution

The fourth proportional to 4,709.75, 7,064.63 and 1,631.75 is: 2,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.75 : 7,064.63 = 1,631.75 : x
  2. Step 2: Convert to fraction form
    4,709.75/7,064.63 = 1,631.75/x
  3. Step 3: Cross multiply
    4,709.75x = 7,064.63 × 1,631.75
  4. Step 4: Simplify right side
    4,709.75x = 11,527,701.84
  5. Step 5: Solve for x
    x = 11,527,701.84/4,709.75
  6. Step 6: Final answer
    x = 2,447.63

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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.