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Finding the Fourth Proportional to 6,334.82, 9,506.32 and 3,415.16

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Solution

The fourth proportional to 6,334.82, 9,506.32 and 3,415.16 is: 5,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.82 : 9,506.32 = 3,415.16 : x
  2. Step 2: Convert to fraction form
    6,334.82/9,506.32 = 3,415.16/x
  3. Step 3: Cross multiply
    6,334.82x = 9,506.32 × 3,415.16
  4. Step 4: Simplify right side
    6,334.82x = 32,465,603.81
  5. Step 5: Solve for x
    x = 32,465,603.81/6,334.82
  6. Step 6: Final answer
    x = 5,124.94

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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.