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Finding the Fourth Proportional to 11,523.47, 15,863.92 and 10,994.47

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Solution

The fourth proportional to 11,523.47, 15,863.92 and 10,994.47 is: 15,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.47 : 15,863.92 = 10,994.47 : x
  2. Step 2: Convert to fraction form
    11,523.47/15,863.92 = 10,994.47/x
  3. Step 3: Cross multiply
    11,523.47x = 15,863.92 × 10,994.47
  4. Step 4: Simplify right side
    11,523.47x = 174,415,325.38
  5. Step 5: Solve for x
    x = 174,415,325.38/11,523.47
  6. Step 6: Final answer
    x = 15,135.67

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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.