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Finding the Fourth Proportional to 11,773.44, 16,235.10 and 8,784.54

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Solution

The fourth proportional to 11,773.44, 16,235.10 and 8,784.54 is: 12,113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.44 : 16,235.10 = 8,784.54 : x
  2. Step 2: Convert to fraction form
    11,773.44/16,235.10 = 8,784.54/x
  3. Step 3: Cross multiply
    11,773.44x = 16,235.10 × 8,784.54
  4. Step 4: Simplify right side
    11,773.44x = 142,617,885.35
  5. Step 5: Solve for x
    x = 142,617,885.35/11,773.44
  6. Step 6: Final answer
    x = 12,113.53

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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.