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Finding the Fourth Proportional to 4,513.61, 6,766.16 and 1,589.91

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Solution

The fourth proportional to 4,513.61, 6,766.16 and 1,589.91 is: 2,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513.61 : 6,766.16 = 1,589.91 : x
  2. Step 2: Convert to fraction form
    4,513.61/6,766.16 = 1,589.91/x
  3. Step 3: Cross multiply
    4,513.61x = 6,766.16 × 1,589.91
  4. Step 4: Simplify right side
    4,513.61x = 10,757,577.50
  5. Step 5: Solve for x
    x = 10,757,577.50/4,513.61
  6. Step 6: Final answer
    x = 2,383.37

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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.