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Finding the Fourth Proportional to 6,971.67, 10,453.46 and 3,453.84

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Solution

The fourth proportional to 6,971.67, 10,453.46 and 3,453.84 is: 5,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.67 : 10,453.46 = 3,453.84 : x
  2. Step 2: Convert to fraction form
    6,971.67/10,453.46 = 3,453.84/x
  3. Step 3: Cross multiply
    6,971.67x = 10,453.46 × 3,453.84
  4. Step 4: Simplify right side
    6,971.67x = 36,104,561.02
  5. Step 5: Solve for x
    x = 36,104,561.02/6,971.67
  6. Step 6: Final answer
    x = 5,178.75

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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.