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Finding the Fourth Proportional to 6,876.54, 9,465.12 and 5,745.06

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Solution

The fourth proportional to 6,876.54, 9,465.12 and 5,745.06 is: 7,907.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.54 : 9,465.12 = 5,745.06 : x
  2. Step 2: Convert to fraction form
    6,876.54/9,465.12 = 5,745.06/x
  3. Step 3: Cross multiply
    6,876.54x = 9,465.12 × 5,745.06
  4. Step 4: Simplify right side
    6,876.54x = 54,377,682.31
  5. Step 5: Solve for x
    x = 54,377,682.31/6,876.54
  6. Step 6: Final answer
    x = 7,907.71

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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.