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Finding the Fourth Proportional to 7,133.70, 10,701.69 and 2,202.18

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Solution

The fourth proportional to 7,133.70, 10,701.69 and 2,202.18 is: 3,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.70 : 10,701.69 = 2,202.18 : x
  2. Step 2: Convert to fraction form
    7,133.70/10,701.69 = 2,202.18/x
  3. Step 3: Cross multiply
    7,133.70x = 10,701.69 × 2,202.18
  4. Step 4: Simplify right side
    7,133.70x = 23,567,047.68
  5. Step 5: Solve for x
    x = 23,567,047.68/7,133.70
  6. Step 6: Final answer
    x = 3,303.62

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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.