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Finding the Fourth Proportional to 25,722, 38,583 and 7,254

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Solution

The fourth proportional to 25,722, 38,583 and 7,254 is: 10,881

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,722 : 38,583 = 7,254 : x
  2. Step 2: Convert to fraction form
    25,722/38,583 = 7,254/x
  3. Step 3: Cross multiply
    25,722x = 38,583 × 7,254
  4. Step 4: Simplify right side
    25,722x = 279,881,082
  5. Step 5: Solve for x
    x = 279,881,082/25,722
  6. Step 6: Final answer
    x = 10,881

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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.