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Finding the Fourth Proportional to 10,073.87, 13,889.43 and 6,709.30

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Solution

The fourth proportional to 10,073.87, 13,889.43 and 6,709.30 is: 9,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,073.87 : 13,889.43 = 6,709.30 : x
  2. Step 2: Convert to fraction form
    10,073.87/13,889.43 = 6,709.30/x
  3. Step 3: Cross multiply
    10,073.87x = 13,889.43 × 6,709.30
  4. Step 4: Simplify right side
    10,073.87x = 93,188,352.70
  5. Step 5: Solve for x
    x = 93,188,352.70/10,073.87
  6. Step 6: Final answer
    x = 9,250.51

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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.