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Finding the Fourth Proportional to 6,674.94, 9,214.11 and 4,024.62

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Solution

The fourth proportional to 6,674.94, 9,214.11 and 4,024.62 is: 5,555.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.94 : 9,214.11 = 4,024.62 : x
  2. Step 2: Convert to fraction form
    6,674.94/9,214.11 = 4,024.62/x
  3. Step 3: Cross multiply
    6,674.94x = 9,214.11 × 4,024.62
  4. Step 4: Simplify right side
    6,674.94x = 37,083,291.39
  5. Step 5: Solve for x
    x = 37,083,291.39/6,674.94
  6. Step 6: Final answer
    x = 5,555.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.