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Finding the Fourth Proportional to 25,794.64, 38,697.54 and 8,024.97

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Solution

The fourth proportional to 25,794.64, 38,697.54 and 8,024.97 is: 12,039.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,794.64 : 38,697.54 = 8,024.97 : x
  2. Step 2: Convert to fraction form
    25,794.64/38,697.54 = 8,024.97/x
  3. Step 3: Cross multiply
    25,794.64x = 38,697.54 × 8,024.97
  4. Step 4: Simplify right side
    25,794.64x = 310,546,597.57
  5. Step 5: Solve for x
    x = 310,546,597.57/25,794.64
  6. Step 6: Final answer
    x = 12,039.19

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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.