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Finding the Fourth Proportional to 6,462.74, 9,694.08 and 4,281.24

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Solution

The fourth proportional to 6,462.74, 9,694.08 and 4,281.24 is: 6,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.74 : 9,694.08 = 4,281.24 : x
  2. Step 2: Convert to fraction form
    6,462.74/9,694.08 = 4,281.24/x
  3. Step 3: Cross multiply
    6,462.74x = 9,694.08 × 4,281.24
  4. Step 4: Simplify right side
    6,462.74x = 41,502,683.06
  5. Step 5: Solve for x
    x = 41,502,683.06/6,462.74
  6. Step 6: Final answer
    x = 6,421.84

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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.