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Finding the Fourth Proportional to 11,648.24, 16,074.07 and 6,343.07

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Solution

The fourth proportional to 11,648.24, 16,074.07 and 6,343.07 is: 8,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.24 : 16,074.07 = 6,343.07 : x
  2. Step 2: Convert to fraction form
    11,648.24/16,074.07 = 6,343.07/x
  3. Step 3: Cross multiply
    11,648.24x = 16,074.07 × 6,343.07
  4. Step 4: Simplify right side
    11,648.24x = 101,958,951.19
  5. Step 5: Solve for x
    x = 101,958,951.19/11,648.24
  6. Step 6: Final answer
    x = 8,753.16

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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.