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Finding the Fourth Proportional to 9,674.82, 13,354.09 and 6,318.16

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Solution

The fourth proportional to 9,674.82, 13,354.09 and 6,318.16 is: 8,720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.82 : 13,354.09 = 6,318.16 : x
  2. Step 2: Convert to fraction form
    9,674.82/13,354.09 = 6,318.16/x
  3. Step 3: Cross multiply
    9,674.82x = 13,354.09 × 6,318.16
  4. Step 4: Simplify right side
    9,674.82x = 84,373,228.09
  5. Step 5: Solve for x
    x = 84,373,228.09/9,674.82
  6. Step 6: Final answer
    x = 8,720.91

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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.