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Finding the Fourth Proportional to 9,598, 14,397 and 4,126

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Solution

The fourth proportional to 9,598, 14,397 and 4,126 is: 6,189

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598 : 14,397 = 4,126 : x
  2. Step 2: Convert to fraction form
    9,598/14,397 = 4,126/x
  3. Step 3: Cross multiply
    9,598x = 14,397 × 4,126
  4. Step 4: Simplify right side
    9,598x = 59,402,022
  5. Step 5: Solve for x
    x = 59,402,022/9,598
  6. Step 6: Final answer
    x = 6,189

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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.