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Finding the Fourth Proportional to 3,047.75, 4,571.65 and 967.71

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Solution

The fourth proportional to 3,047.75, 4,571.65 and 967.71 is: 1,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.75 : 4,571.65 = 967.71 : x
  2. Step 2: Convert to fraction form
    3,047.75/4,571.65 = 967.71/x
  3. Step 3: Cross multiply
    3,047.75x = 4,571.65 × 967.71
  4. Step 4: Simplify right side
    3,047.75x = 4,424,031.42
  5. Step 5: Solve for x
    x = 4,424,031.42/3,047.75
  6. Step 6: Final answer
    x = 1,451.57

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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.