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Finding the Fourth Proportional to 25,054.56, 37,582.08 and 6,586.56

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Solution

The fourth proportional to 25,054.56, 37,582.08 and 6,586.56 is: 9,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,054.56 : 37,582.08 = 6,586.56 : x
  2. Step 2: Convert to fraction form
    25,054.56/37,582.08 = 6,586.56/x
  3. Step 3: Cross multiply
    25,054.56x = 37,582.08 × 6,586.56
  4. Step 4: Simplify right side
    25,054.56x = 247,536,624.84
  5. Step 5: Solve for x
    x = 247,536,624.84/25,054.56
  6. Step 6: Final answer
    x = 9,879.90

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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.