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Finding the Fourth Proportional to 23,942, 35,913 and 7,526

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Solution

The fourth proportional to 23,942, 35,913 and 7,526 is: 11,289

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,942 : 35,913 = 7,526 : x
  2. Step 2: Convert to fraction form
    23,942/35,913 = 7,526/x
  3. Step 3: Cross multiply
    23,942x = 35,913 × 7,526
  4. Step 4: Simplify right side
    23,942x = 270,281,238
  5. Step 5: Solve for x
    x = 270,281,238/23,942
  6. Step 6: Final answer
    x = 11,289

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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.