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Finding the Fourth Proportional to 7,141.96, 10,713.44 and 2,210.96

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Solution

The fourth proportional to 7,141.96, 10,713.44 and 2,210.96 is: 3,316.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.96 : 10,713.44 = 2,210.96 : x
  2. Step 2: Convert to fraction form
    7,141.96/10,713.44 = 2,210.96/x
  3. Step 3: Cross multiply
    7,141.96x = 10,713.44 × 2,210.96
  4. Step 4: Simplify right side
    7,141.96x = 23,686,987.30
  5. Step 5: Solve for x
    x = 23,686,987.30/7,141.96
  6. Step 6: Final answer
    x = 3,316.59

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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.