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Finding the Fourth Proportional to 23,598, 35,397 and 7,182

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Solution

The fourth proportional to 23,598, 35,397 and 7,182 is: 10,773

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,598 : 35,397 = 7,182 : x
  2. Step 2: Convert to fraction form
    23,598/35,397 = 7,182/x
  3. Step 3: Cross multiply
    23,598x = 35,397 × 7,182
  4. Step 4: Simplify right side
    23,598x = 254,221,254
  5. Step 5: Solve for x
    x = 254,221,254/23,598
  6. Step 6: Final answer
    x = 10,773

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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.