Home / 13,024-19,546.25-6,698.62

Finding the Fourth Proportional to 13,024, 19,546.25 and 6,698.62

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Solution

The fourth proportional to 13,024, 19,546.25 and 6,698.62 is: 10,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024 : 19,546.25 = 6,698.62 : x
  2. Step 2: Convert to fraction form
    13,024/19,546.25 = 6,698.62/x
  3. Step 3: Cross multiply
    13,024x = 19,546.25 × 6,698.62
  4. Step 4: Simplify right side
    13,024x = 130,932,901.18
  5. Step 5: Solve for x
    x = 130,932,901.18/13,024
  6. Step 6: Final answer
    x = 10,053.20

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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.