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Finding the Fourth Proportional to 11,596.34, 15,996.62 and 7,339.62

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Solution

The fourth proportional to 11,596.34, 15,996.62 and 7,339.62 is: 10,124.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.34 : 15,996.62 = 7,339.62 : x
  2. Step 2: Convert to fraction form
    11,596.34/15,996.62 = 7,339.62/x
  3. Step 3: Cross multiply
    11,596.34x = 15,996.62 × 7,339.62
  4. Step 4: Simplify right side
    11,596.34x = 117,409,112.08
  5. Step 5: Solve for x
    x = 117,409,112.08/11,596.34
  6. Step 6: Final answer
    x = 10,124.67

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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.