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Finding the Fourth Proportional to 6,820.14, 10,223.10 and 3,482.22

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Solution

The fourth proportional to 6,820.14, 10,223.10 and 3,482.22 is: 5,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.14 : 10,223.10 = 3,482.22 : x
  2. Step 2: Convert to fraction form
    6,820.14/10,223.10 = 3,482.22/x
  3. Step 3: Cross multiply
    6,820.14x = 10,223.10 × 3,482.22
  4. Step 4: Simplify right side
    6,820.14x = 35,599,083.28
  5. Step 5: Solve for x
    x = 35,599,083.28/6,820.14
  6. Step 6: Final answer
    x = 5,219.70

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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.