Home / 10,974.63-16,464-4,401.33

Finding the Fourth Proportional to 10,974.63, 16,464 and 4,401.33

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Solution

The fourth proportional to 10,974.63, 16,464 and 4,401.33 is: 6,602.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974.63 : 16,464 = 4,401.33 : x
  2. Step 2: Convert to fraction form
    10,974.63/16,464 = 4,401.33/x
  3. Step 3: Cross multiply
    10,974.63x = 16,464 × 4,401.33
  4. Step 4: Simplify right side
    10,974.63x = 72,463,497.12
  5. Step 5: Solve for x
    x = 72,463,497.12/10,974.63
  6. Step 6: Final answer
    x = 6,602.82

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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.