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Finding the Fourth Proportional to 6,651.32, 9,978.26 and 2,547

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Solution

The fourth proportional to 6,651.32, 9,978.26 and 2,547 is: 3,820.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.32 : 9,978.26 = 2,547 : x
  2. Step 2: Convert to fraction form
    6,651.32/9,978.26 = 2,547/x
  3. Step 3: Cross multiply
    6,651.32x = 9,978.26 × 2,547
  4. Step 4: Simplify right side
    6,651.32x = 25,414,628.22
  5. Step 5: Solve for x
    x = 25,414,628.22/6,651.32
  6. Step 6: Final answer
    x = 3,820.99

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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.