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Finding the Fourth Proportional to 4,713.56, 7,069.11 and 2,243.46

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Solution

The fourth proportional to 4,713.56, 7,069.11 and 2,243.46 is: 3,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.56 : 7,069.11 = 2,243.46 : x
  2. Step 2: Convert to fraction form
    4,713.56/7,069.11 = 2,243.46/x
  3. Step 3: Cross multiply
    4,713.56x = 7,069.11 × 2,243.46
  4. Step 4: Simplify right side
    4,713.56x = 15,859,265.52
  5. Step 5: Solve for x
    x = 15,859,265.52/4,713.56
  6. Step 6: Final answer
    x = 3,364.60

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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.