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Finding the Fourth Proportional to 4,542.22, 6,813.78 and 1,769.11

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Solution

The fourth proportional to 4,542.22, 6,813.78 and 1,769.11 is: 2,653.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.22 : 6,813.78 = 1,769.11 : x
  2. Step 2: Convert to fraction form
    4,542.22/6,813.78 = 1,769.11/x
  3. Step 3: Cross multiply
    4,542.22x = 6,813.78 × 1,769.11
  4. Step 4: Simplify right side
    4,542.22x = 12,054,326.34
  5. Step 5: Solve for x
    x = 12,054,326.34/4,542.22
  6. Step 6: Final answer
    x = 2,653.84

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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.