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Finding the Fourth Proportional to 25,826.77, 38,735.06 and 7,101.98

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Solution

The fourth proportional to 25,826.77, 38,735.06 and 7,101.98 is: 10,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,826.77 : 38,735.06 = 7,101.98 : x
  2. Step 2: Convert to fraction form
    25,826.77/38,735.06 = 7,101.98/x
  3. Step 3: Cross multiply
    25,826.77x = 38,735.06 × 7,101.98
  4. Step 4: Simplify right side
    25,826.77x = 275,095,577.44
  5. Step 5: Solve for x
    x = 275,095,577.44/25,826.77
  6. Step 6: Final answer
    x = 10,651.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.