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Finding the Fourth Proportional to 11,502.96, 15,874.08 and 6,467.12

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Solution

The fourth proportional to 11,502.96, 15,874.08 and 6,467.12 is: 8,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,502.96 : 15,874.08 = 6,467.12 : x
  2. Step 2: Convert to fraction form
    11,502.96/15,874.08 = 6,467.12/x
  3. Step 3: Cross multiply
    11,502.96x = 15,874.08 × 6,467.12
  4. Step 4: Simplify right side
    11,502.96x = 102,659,580.25
  5. Step 5: Solve for x
    x = 102,659,580.25/11,502.96
  6. Step 6: Final answer
    x = 8,924.62

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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.