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Finding the Fourth Proportional to 6,865.97, 9,465.87 and 5,454.34

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Solution

The fourth proportional to 6,865.97, 9,465.87 and 5,454.34 is: 7,519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.97 : 9,465.87 = 5,454.34 : x
  2. Step 2: Convert to fraction form
    6,865.97/9,465.87 = 5,454.34/x
  3. Step 3: Cross multiply
    6,865.97x = 9,465.87 × 5,454.34
  4. Step 4: Simplify right side
    6,865.97x = 51,630,105.66
  5. Step 5: Solve for x
    x = 51,630,105.66/6,865.97
  6. Step 6: Final answer
    x = 7,519.71

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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.