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Finding the Fourth Proportional to 7,662.56, 11,488.43 and 2,978.66

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Solution

The fourth proportional to 7,662.56, 11,488.43 and 2,978.66 is: 4,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.56 : 11,488.43 = 2,978.66 : x
  2. Step 2: Convert to fraction form
    7,662.56/11,488.43 = 2,978.66/x
  3. Step 3: Cross multiply
    7,662.56x = 11,488.43 × 2,978.66
  4. Step 4: Simplify right side
    7,662.56x = 34,220,163.07
  5. Step 5: Solve for x
    x = 34,220,163.07/7,662.56
  6. Step 6: Final answer
    x = 4,465.89

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1.5x scale

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.