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Finding the Fourth Proportional to 25,202.54, 37,803.76 and 7,445.67

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Solution

The fourth proportional to 25,202.54, 37,803.76 and 7,445.67 is: 11,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,202.54 : 37,803.76 = 7,445.67 : x
  2. Step 2: Convert to fraction form
    25,202.54/37,803.76 = 7,445.67/x
  3. Step 3: Cross multiply
    25,202.54x = 37,803.76 × 7,445.67
  4. Step 4: Simplify right side
    25,202.54x = 281,474,161.34
  5. Step 5: Solve for x
    x = 281,474,161.34/25,202.54
  6. Step 6: Final answer
    x = 11,168.49

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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.