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Finding the Fourth Proportional to 16,310, 24,465 and 3,998

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Solution

The fourth proportional to 16,310, 24,465 and 3,998 is: 5,997

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,310 : 24,465 = 3,998 : x
  2. Step 2: Convert to fraction form
    16,310/24,465 = 3,998/x
  3. Step 3: Cross multiply
    16,310x = 24,465 × 3,998
  4. Step 4: Simplify right side
    16,310x = 97,811,070
  5. Step 5: Solve for x
    x = 97,811,070/16,310
  6. Step 6: Final answer
    x = 5,997

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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.