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Finding the Fourth Proportional to 9,367.84, 12,921.72 and 6,007.12

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Solution

The fourth proportional to 9,367.84, 12,921.72 and 6,007.12 is: 8,286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.84 : 12,921.72 = 6,007.12 : x
  2. Step 2: Convert to fraction form
    9,367.84/12,921.72 = 6,007.12/x
  3. Step 3: Cross multiply
    9,367.84x = 12,921.72 × 6,007.12
  4. Step 4: Simplify right side
    9,367.84x = 77,622,322.65
  5. Step 5: Solve for x
    x = 77,622,322.65/9,367.84
  6. Step 6: Final answer
    x = 8,286.04

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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.