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Finding the Fourth Proportional to 6,907.90, 10,362.22 and 1,978.26

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Solution

The fourth proportional to 6,907.90, 10,362.22 and 1,978.26 is: 2,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.90 : 10,362.22 = 1,978.26 : x
  2. Step 2: Convert to fraction form
    6,907.90/10,362.22 = 1,978.26/x
  3. Step 3: Cross multiply
    6,907.90x = 10,362.22 × 1,978.26
  4. Step 4: Simplify right side
    6,907.90x = 20,499,165.34
  5. Step 5: Solve for x
    x = 20,499,165.34/6,907.90
  6. Step 6: Final answer
    x = 2,967.50

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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.