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Finding the Fourth Proportional to 6,675.96, 9,216.48 and 4,024

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Solution

The fourth proportional to 6,675.96, 9,216.48 and 4,024 is: 5,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.96 : 9,216.48 = 4,024 : x
  2. Step 2: Convert to fraction form
    6,675.96/9,216.48 = 4,024/x
  3. Step 3: Cross multiply
    6,675.96x = 9,216.48 × 4,024
  4. Step 4: Simplify right side
    6,675.96x = 37,087,115.52
  5. Step 5: Solve for x
    x = 37,087,115.52/6,675.96
  6. Step 6: Final answer
    x = 5,555.32

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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.