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Finding the Fourth Proportional to 9,692.25, 13,375.65 and 5,716.77

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Solution

The fourth proportional to 9,692.25, 13,375.65 and 5,716.77 is: 7,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.25 : 13,375.65 = 5,716.77 : x
  2. Step 2: Convert to fraction form
    9,692.25/13,375.65 = 5,716.77/x
  3. Step 3: Cross multiply
    9,692.25x = 13,375.65 × 5,716.77
  4. Step 4: Simplify right side
    9,692.25x = 76,465,514.65
  5. Step 5: Solve for x
    x = 76,465,514.65/9,692.25
  6. Step 6: Final answer
    x = 7,889.35

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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.