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Finding the Fourth Proportional to 11,503, 15,874.18 and 6,467.06

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Solution

The fourth proportional to 11,503, 15,874.18 and 6,467.06 is: 8,924.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503 : 15,874.18 = 6,467.06 : x
  2. Step 2: Convert to fraction form
    11,503/15,874.18 = 6,467.06/x
  3. Step 3: Cross multiply
    11,503x = 15,874.18 × 6,467.06
  4. Step 4: Simplify right side
    11,503x = 102,659,274.51
  5. Step 5: Solve for x
    x = 102,659,274.51/11,503
  6. Step 6: Final answer
    x = 8,924.57

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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.