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Finding the Fourth Proportional to 6,224.67, 9,338.50 and 1,782.40

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Solution

The fourth proportional to 6,224.67, 9,338.50 and 1,782.40 is: 2,674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.67 : 9,338.50 = 1,782.40 : x
  2. Step 2: Convert to fraction form
    6,224.67/9,338.50 = 1,782.40/x
  3. Step 3: Cross multiply
    6,224.67x = 9,338.50 × 1,782.40
  4. Step 4: Simplify right side
    6,224.67x = 16,644,942.40
  5. Step 5: Solve for x
    x = 16,644,942.40/6,224.67
  6. Step 6: Final answer
    x = 2,674.03

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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.