Home / 6,562-9,824.29-6,148.15

Finding the Fourth Proportional to 6,562, 9,824.29 and 6,148.15

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Solution

The fourth proportional to 6,562, 9,824.29 and 6,148.15 is: 9,204.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562 : 9,824.29 = 6,148.15 : x
  2. Step 2: Convert to fraction form
    6,562/9,824.29 = 6,148.15/x
  3. Step 3: Cross multiply
    6,562x = 9,824.29 × 6,148.15
  4. Step 4: Simplify right side
    6,562x = 60,401,208.56
  5. Step 5: Solve for x
    x = 60,401,208.56/6,562
  6. Step 6: Final answer
    x = 9,204.69

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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.