Home / 10,803.05-16,206.32-4,564

Finding the Fourth Proportional to 10,803.05, 16,206.32 and 4,564

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Solution

The fourth proportional to 10,803.05, 16,206.32 and 4,564 is: 6,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.05 : 16,206.32 = 4,564 : x
  2. Step 2: Convert to fraction form
    10,803.05/16,206.32 = 4,564/x
  3. Step 3: Cross multiply
    10,803.05x = 16,206.32 × 4,564
  4. Step 4: Simplify right side
    10,803.05x = 73,965,644.48
  5. Step 5: Solve for x
    x = 73,965,644.48/10,803.05
  6. Step 6: Final answer
    x = 6,846.74

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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.