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Finding the Fourth Proportional to 9,672.69, 13,348.44 and 5,895.36

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Solution

The fourth proportional to 9,672.69, 13,348.44 and 5,895.36 is: 8,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.69 : 13,348.44 = 5,895.36 : x
  2. Step 2: Convert to fraction form
    9,672.69/13,348.44 = 5,895.36/x
  3. Step 3: Cross multiply
    9,672.69x = 13,348.44 × 5,895.36
  4. Step 4: Simplify right side
    9,672.69x = 78,693,859.24
  5. Step 5: Solve for x
    x = 78,693,859.24/9,672.69
  6. Step 6: Final answer
    x = 8,135.67

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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.