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Finding the Fourth Proportional to 25,219.55, 37,823.56 and 7,446.40

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Solution

The fourth proportional to 25,219.55, 37,823.56 and 7,446.40 is: 11,167.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,219.55 : 37,823.56 = 7,446.40 : x
  2. Step 2: Convert to fraction form
    25,219.55/37,823.56 = 7,446.40/x
  3. Step 3: Cross multiply
    25,219.55x = 37,823.56 × 7,446.40
  4. Step 4: Simplify right side
    25,219.55x = 281,649,244.01
  5. Step 5: Solve for x
    x = 281,649,244.01/25,219.55
  6. Step 6: Final answer
    x = 11,167.89

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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.