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Finding the Fourth Proportional to 10,182.38, 14,050.92 and 6,203

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Solution

The fourth proportional to 10,182.38, 14,050.92 and 6,203 is: 8,559.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.38 : 14,050.92 = 6,203 : x
  2. Step 2: Convert to fraction form
    10,182.38/14,050.92 = 6,203/x
  3. Step 3: Cross multiply
    10,182.38x = 14,050.92 × 6,203
  4. Step 4: Simplify right side
    10,182.38x = 87,157,856.76
  5. Step 5: Solve for x
    x = 87,157,856.76/10,182.38
  6. Step 6: Final answer
    x = 8,559.67

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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.