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Finding the Fourth Proportional to 25,205, 37,806.06 and 7,674.44

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Solution

The fourth proportional to 25,205, 37,806.06 and 7,674.44 is: 11,511.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205 : 37,806.06 = 7,674.44 : x
  2. Step 2: Convert to fraction form
    25,205/37,806.06 = 7,674.44/x
  3. Step 3: Cross multiply
    25,205x = 37,806.06 × 7,674.44
  4. Step 4: Simplify right side
    25,205x = 290,140,339.11
  5. Step 5: Solve for x
    x = 290,140,339.11/25,205
  6. Step 6: Final answer
    x = 11,511.22

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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.