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Finding the Fourth Proportional to 11,774.58, 16,249 and 6,469.26

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Solution

The fourth proportional to 11,774.58, 16,249 and 6,469.26 is: 8,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.58 : 16,249 = 6,469.26 : x
  2. Step 2: Convert to fraction form
    11,774.58/16,249 = 6,469.26/x
  3. Step 3: Cross multiply
    11,774.58x = 16,249 × 6,469.26
  4. Step 4: Simplify right side
    11,774.58x = 105,119,005.74
  5. Step 5: Solve for x
    x = 105,119,005.74/11,774.58
  6. Step 6: Final answer
    x = 8,927.62

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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.