Home / 10,875.84-16,315.92-6,198

Finding the Fourth Proportional to 10,875.84, 16,315.92 and 6,198

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Solution

The fourth proportional to 10,875.84, 16,315.92 and 6,198 is: 9,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.84 : 16,315.92 = 6,198 : x
  2. Step 2: Convert to fraction form
    10,875.84/16,315.92 = 6,198/x
  3. Step 3: Cross multiply
    10,875.84x = 16,315.92 × 6,198
  4. Step 4: Simplify right side
    10,875.84x = 101,126,072.16
  5. Step 5: Solve for x
    x = 101,126,072.16/10,875.84
  6. Step 6: Final answer
    x = 9,298.23

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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.