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Finding the Fourth Proportional to 8,284.78, 11,433.00 and 4,558.78

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Solution

The fourth proportional to 8,284.78, 11,433.00 and 4,558.78 is: 6,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.78 : 11,433.00 = 4,558.78 : x
  2. Step 2: Convert to fraction form
    8,284.78/11,433.00 = 4,558.78/x
  3. Step 3: Cross multiply
    8,284.78x = 11,433.00 × 4,558.78
  4. Step 4: Simplify right side
    8,284.78x = 52,120,537.48
  5. Step 5: Solve for x
    x = 52,120,537.48/8,284.78
  6. Step 6: Final answer
    x = 6,291.12

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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.