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Finding the Fourth Proportional to 11,472, 15,832.32 and 6,504.96

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Solution

The fourth proportional to 11,472, 15,832.32 and 6,504.96 is: 8,977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472 : 15,832.32 = 6,504.96 : x
  2. Step 2: Convert to fraction form
    11,472/15,832.32 = 6,504.96/x
  3. Step 3: Cross multiply
    11,472x = 15,832.32 × 6,504.96
  4. Step 4: Simplify right side
    11,472x = 102,988,608.31
  5. Step 5: Solve for x
    x = 102,988,608.31/11,472
  6. Step 6: Final answer
    x = 8,977.39

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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.