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Finding the Fourth Proportional to 10,077.87, 13,906.36 and 5,828.30

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Solution

The fourth proportional to 10,077.87, 13,906.36 and 5,828.30 is: 8,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.87 : 13,906.36 = 5,828.30 : x
  2. Step 2: Convert to fraction form
    10,077.87/13,906.36 = 5,828.30/x
  3. Step 3: Cross multiply
    10,077.87x = 13,906.36 × 5,828.30
  4. Step 4: Simplify right side
    10,077.87x = 81,050,437.99
  5. Step 5: Solve for x
    x = 81,050,437.99/10,077.87
  6. Step 6: Final answer
    x = 8,042.42

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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.