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Finding the Fourth Proportional to 25,941.38, 38,912.09 and 9,302.45

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Solution

The fourth proportional to 25,941.38, 38,912.09 and 9,302.45 is: 13,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,941.38 : 38,912.09 = 9,302.45 : x
  2. Step 2: Convert to fraction form
    25,941.38/38,912.09 = 9,302.45/x
  3. Step 3: Cross multiply
    25,941.38x = 38,912.09 × 9,302.45
  4. Step 4: Simplify right side
    25,941.38x = 361,977,530.55
  5. Step 5: Solve for x
    x = 361,977,530.55/25,941.38
  6. Step 6: Final answer
    x = 13,953.68

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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.