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Finding the Fourth Proportional to 10,598, 15,897 and 3,302

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Solution

The fourth proportional to 10,598, 15,897 and 3,302 is: 4,953

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598 : 15,897 = 3,302 : x
  2. Step 2: Convert to fraction form
    10,598/15,897 = 3,302/x
  3. Step 3: Cross multiply
    10,598x = 15,897 × 3,302
  4. Step 4: Simplify right side
    10,598x = 52,491,894
  5. Step 5: Solve for x
    x = 52,491,894/10,598
  6. Step 6: Final answer
    x = 4,953

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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.