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Finding the Fourth Proportional to 25,885.34, 38,824.23 and 7,166.66

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Solution

The fourth proportional to 25,885.34, 38,824.23 and 7,166.66 is: 10,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,885.34 : 38,824.23 = 7,166.66 : x
  2. Step 2: Convert to fraction form
    25,885.34/38,824.23 = 7,166.66/x
  3. Step 3: Cross multiply
    25,885.34x = 38,824.23 × 7,166.66
  4. Step 4: Simplify right side
    25,885.34x = 278,239,862.05
  5. Step 5: Solve for x
    x = 278,239,862.05/25,885.34
  6. Step 6: Final answer
    x = 10,748.94

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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.