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Finding the Fourth Proportional to 6,666.19, 9,978.31 and 4,573.96

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Solution

The fourth proportional to 6,666.19, 9,978.31 and 4,573.96 is: 6,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.19 : 9,978.31 = 4,573.96 : x
  2. Step 2: Convert to fraction form
    6,666.19/9,978.31 = 4,573.96/x
  3. Step 3: Cross multiply
    6,666.19x = 9,978.31 × 4,573.96
  4. Step 4: Simplify right side
    6,666.19x = 45,640,354.43
  5. Step 5: Solve for x
    x = 45,640,354.43/6,666.19
  6. Step 6: Final answer
    x = 6,846.55

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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.