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Finding the Fourth Proportional to 25,208.46, 37,812.72 and 7,678.44

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Solution

The fourth proportional to 25,208.46, 37,812.72 and 7,678.44 is: 11,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,208.46 : 37,812.72 = 7,678.44 : x
  2. Step 2: Convert to fraction form
    25,208.46/37,812.72 = 7,678.44/x
  3. Step 3: Cross multiply
    25,208.46x = 37,812.72 × 7,678.44
  4. Step 4: Simplify right side
    25,208.46x = 290,342,701.76
  5. Step 5: Solve for x
    x = 290,342,701.76/25,208.46
  6. Step 6: Final answer
    x = 11,517.67

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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.