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Finding the Fourth Proportional to 25,652.89, 38,477.78 and 7,883.71

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Solution

The fourth proportional to 25,652.89, 38,477.78 and 7,883.71 is: 11,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,652.89 : 38,477.78 = 7,883.71 : x
  2. Step 2: Convert to fraction form
    25,652.89/38,477.78 = 7,883.71/x
  3. Step 3: Cross multiply
    25,652.89x = 38,477.78 × 7,883.71
  4. Step 4: Simplify right side
    25,652.89x = 303,347,813.70
  5. Step 5: Solve for x
    x = 303,347,813.70/25,652.89
  6. Step 6: Final answer
    x = 11,825.10

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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.