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Finding the Fourth Proportional to 6,441.48, 9,658.17 and 2,741.40

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Solution

The fourth proportional to 6,441.48, 9,658.17 and 2,741.40 is: 4,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.48 : 9,658.17 = 2,741.40 : x
  2. Step 2: Convert to fraction form
    6,441.48/9,658.17 = 2,741.40/x
  3. Step 3: Cross multiply
    6,441.48x = 9,658.17 × 2,741.40
  4. Step 4: Simplify right side
    6,441.48x = 26,476,907.24
  5. Step 5: Solve for x
    x = 26,476,907.24/6,441.48
  6. Step 6: Final answer
    x = 4,110.38

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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.