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Finding the Fourth Proportional to 6,666.32, 9,978.32 and 3,735.68

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Solution

The fourth proportional to 6,666.32, 9,978.32 and 3,735.68 is: 5,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.32 : 9,978.32 = 3,735.68 : x
  2. Step 2: Convert to fraction form
    6,666.32/9,978.32 = 3,735.68/x
  3. Step 3: Cross multiply
    6,666.32x = 9,978.32 × 3,735.68
  4. Step 4: Simplify right side
    6,666.32x = 37,275,810.46
  5. Step 5: Solve for x
    x = 37,275,810.46/6,666.32
  6. Step 6: Final answer
    x = 5,591.66

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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.