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Finding the Fourth Proportional to 23,772, 35,658 and 7,356

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Solution

The fourth proportional to 23,772, 35,658 and 7,356 is: 11,034

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772 : 35,658 = 7,356 : x
  2. Step 2: Convert to fraction form
    23,772/35,658 = 7,356/x
  3. Step 3: Cross multiply
    23,772x = 35,658 × 7,356
  4. Step 4: Simplify right side
    23,772x = 262,300,248
  5. Step 5: Solve for x
    x = 262,300,248/23,772
  6. Step 6: Final answer
    x = 11,034

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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.