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Finding the Fourth Proportional to 6,675.88, 9,222.15 and 6,077.38

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Solution

The fourth proportional to 6,675.88, 9,222.15 and 6,077.38 is: 8,395.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.88 : 9,222.15 = 6,077.38 : x
  2. Step 2: Convert to fraction form
    6,675.88/9,222.15 = 6,077.38/x
  3. Step 3: Cross multiply
    6,675.88x = 9,222.15 × 6,077.38
  4. Step 4: Simplify right side
    6,675.88x = 56,046,509.97
  5. Step 5: Solve for x
    x = 56,046,509.97/6,675.88
  6. Step 6: Final answer
    x = 8,395.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.