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Finding the Fourth Proportional to 8,285.63, 11,434.19 and 4,559.63

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Solution

The fourth proportional to 8,285.63, 11,434.19 and 4,559.63 is: 6,292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.63 : 11,434.19 = 4,559.63 : x
  2. Step 2: Convert to fraction form
    8,285.63/11,434.19 = 4,559.63/x
  3. Step 3: Cross multiply
    8,285.63x = 11,434.19 × 4,559.63
  4. Step 4: Simplify right side
    8,285.63x = 52,135,595.78
  5. Step 5: Solve for x
    x = 52,135,595.78/8,285.63
  6. Step 6: Final answer
    x = 6,292.29

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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.