Home / 11,582.10-15,982.32-6,546.78

Finding the Fourth Proportional to 11,582.10, 15,982.32 and 6,546.78

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Solution

The fourth proportional to 11,582.10, 15,982.32 and 6,546.78 is: 9,034.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582.10 : 15,982.32 = 6,546.78 : x
  2. Step 2: Convert to fraction form
    11,582.10/15,982.32 = 6,546.78/x
  3. Step 3: Cross multiply
    11,582.10x = 15,982.32 × 6,546.78
  4. Step 4: Simplify right side
    11,582.10x = 104,632,732.93
  5. Step 5: Solve for x
    x = 104,632,732.93/11,582.10
  6. Step 6: Final answer
    x = 9,034.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.