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Finding the Fourth Proportional to 11,999.44, 16,558.44 and 7,523

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Solution

The fourth proportional to 11,999.44, 16,558.44 and 7,523 is: 10,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.44 : 16,558.44 = 7,523 : x
  2. Step 2: Convert to fraction form
    11,999.44/16,558.44 = 7,523/x
  3. Step 3: Cross multiply
    11,999.44x = 16,558.44 × 7,523
  4. Step 4: Simplify right side
    11,999.44x = 124,569,144.12
  5. Step 5: Solve for x
    x = 124,569,144.12/11,999.44
  6. Step 6: Final answer
    x = 10,381.25

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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.