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Finding the Fourth Proportional to 6,404.64, 9,601.26 and 2,506.14

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Solution

The fourth proportional to 6,404.64, 9,601.26 and 2,506.14 is: 3,756.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.64 : 9,601.26 = 2,506.14 : x
  2. Step 2: Convert to fraction form
    6,404.64/9,601.26 = 2,506.14/x
  3. Step 3: Cross multiply
    6,404.64x = 9,601.26 × 2,506.14
  4. Step 4: Simplify right side
    6,404.64x = 24,062,101.74
  5. Step 5: Solve for x
    x = 24,062,101.74/6,404.64
  6. Step 6: Final answer
    x = 3,756.98

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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.