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Finding the Fourth Proportional to 9,513.11, 14,251.88 and 7,963.08

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Solution

The fourth proportional to 9,513.11, 14,251.88 and 7,963.08 is: 11,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.11 : 14,251.88 = 7,963.08 : x
  2. Step 2: Convert to fraction form
    9,513.11/14,251.88 = 7,963.08/x
  3. Step 3: Cross multiply
    9,513.11x = 14,251.88 × 7,963.08
  4. Step 4: Simplify right side
    9,513.11x = 113,488,827.05
  5. Step 5: Solve for x
    x = 113,488,827.05/9,513.11
  6. Step 6: Final answer
    x = 11,929.73

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1.5x scale

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.