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Finding the Fourth Proportional to 9,584.35, 13,195.71 and 9,375.21

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Solution

The fourth proportional to 9,584.35, 13,195.71 and 9,375.21 is: 12,907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.35 : 13,195.71 = 9,375.21 : x
  2. Step 2: Convert to fraction form
    9,584.35/13,195.71 = 9,375.21/x
  3. Step 3: Cross multiply
    9,584.35x = 13,195.71 × 9,375.21
  4. Step 4: Simplify right side
    9,584.35x = 123,712,552.35
  5. Step 5: Solve for x
    x = 123,712,552.35/9,584.35
  6. Step 6: Final answer
    x = 12,907.77

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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.