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Finding the Fourth Proportional to 25,577.37, 38,356.88 and 9,786.83

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Solution

The fourth proportional to 25,577.37, 38,356.88 and 9,786.83 is: 14,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,577.37 : 38,356.88 = 9,786.83 : x
  2. Step 2: Convert to fraction form
    25,577.37/38,356.88 = 9,786.83/x
  3. Step 3: Cross multiply
    25,577.37x = 38,356.88 × 9,786.83
  4. Step 4: Simplify right side
    25,577.37x = 375,392,023.17
  5. Step 5: Solve for x
    x = 375,392,023.17/25,577.37
  6. Step 6: Final answer
    x = 14,676.72

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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.