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Finding the Fourth Proportional to 6,742.71, 10,114.29 and 2,363.22

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Solution

The fourth proportional to 6,742.71, 10,114.29 and 2,363.22 is: 3,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.71 : 10,114.29 = 2,363.22 : x
  2. Step 2: Convert to fraction form
    6,742.71/10,114.29 = 2,363.22/x
  3. Step 3: Cross multiply
    6,742.71x = 10,114.29 × 2,363.22
  4. Step 4: Simplify right side
    6,742.71x = 23,902,292.41
  5. Step 5: Solve for x
    x = 23,902,292.41/6,742.71
  6. Step 6: Final answer
    x = 3,544.91

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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.