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Finding the Fourth Proportional to 11,773.90, 16,248.24 and 6,469.02

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Solution

The fourth proportional to 11,773.90, 16,248.24 and 6,469.02 is: 8,927.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.90 : 16,248.24 = 6,469.02 : x
  2. Step 2: Convert to fraction form
    11,773.90/16,248.24 = 6,469.02/x
  3. Step 3: Cross multiply
    11,773.90x = 16,248.24 × 6,469.02
  4. Step 4: Simplify right side
    11,773.90x = 105,110,189.52
  5. Step 5: Solve for x
    x = 105,110,189.52/11,773.90
  6. Step 6: Final answer
    x = 8,927.39

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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.