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Finding the Fourth Proportional to 11,496.49, 15,865.31 and 6,959.12

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Solution

The fourth proportional to 11,496.49, 15,865.31 and 6,959.12 is: 9,603.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.49 : 15,865.31 = 6,959.12 : x
  2. Step 2: Convert to fraction form
    11,496.49/15,865.31 = 6,959.12/x
  3. Step 3: Cross multiply
    11,496.49x = 15,865.31 × 6,959.12
  4. Step 4: Simplify right side
    11,496.49x = 110,408,485.27
  5. Step 5: Solve for x
    x = 110,408,485.27/11,496.49
  6. Step 6: Final answer
    x = 9,603.67

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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.