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Finding the Fourth Proportional to 6,810.50, 10,210.19 and 3,524.54

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Solution

The fourth proportional to 6,810.50, 10,210.19 and 3,524.54 is: 5,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.50 : 10,210.19 = 3,524.54 : x
  2. Step 2: Convert to fraction form
    6,810.50/10,210.19 = 3,524.54/x
  3. Step 3: Cross multiply
    6,810.50x = 10,210.19 × 3,524.54
  4. Step 4: Simplify right side
    6,810.50x = 35,986,154.39
  5. Step 5: Solve for x
    x = 35,986,154.39/6,810.50
  6. Step 6: Final answer
    x = 5,283.92

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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.