Home / 11,580.64-15,982.25-6,546.08

Finding the Fourth Proportional to 11,580.64, 15,982.25 and 6,546.08

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Solution

The fourth proportional to 11,580.64, 15,982.25 and 6,546.08 is: 9,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.64 : 15,982.25 = 6,546.08 : x
  2. Step 2: Convert to fraction form
    11,580.64/15,982.25 = 6,546.08/x
  3. Step 3: Cross multiply
    11,580.64x = 15,982.25 × 6,546.08
  4. Step 4: Simplify right side
    11,580.64x = 104,621,094.31
  5. Step 5: Solve for x
    x = 104,621,094.31/11,580.64
  6. Step 6: Final answer
    x = 9,034.14

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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.