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Finding the Fourth Proportional to 9,299, 12,832.71 and 5,107.34

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Solution

The fourth proportional to 9,299, 12,832.71 and 5,107.34 is: 7,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299 : 12,832.71 = 5,107.34 : x
  2. Step 2: Convert to fraction form
    9,299/12,832.71 = 5,107.34/x
  3. Step 3: Cross multiply
    9,299x = 12,832.71 × 5,107.34
  4. Step 4: Simplify right side
    9,299x = 65,541,013.09
  5. Step 5: Solve for x
    x = 65,541,013.09/9,299
  6. Step 6: Final answer
    x = 7,048.18

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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.