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Finding the Fourth Proportional to 9,299, 12,833.22 and 5,321.40

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Solution

The fourth proportional to 9,299, 12,833.22 and 5,321.40 is: 7,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299 : 12,833.22 = 5,321.40 : x
  2. Step 2: Convert to fraction form
    9,299/12,833.22 = 5,321.40/x
  3. Step 3: Cross multiply
    9,299x = 12,833.22 × 5,321.40
  4. Step 4: Simplify right side
    9,299x = 68,290,696.91
  5. Step 5: Solve for x
    x = 68,290,696.91/9,299
  6. Step 6: Final answer
    x = 7,343.88

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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.