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Finding the Fourth Proportional to 9,486.75, 14,230.13 and 2,561.25

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Solution

The fourth proportional to 9,486.75, 14,230.13 and 2,561.25 is: 3,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.75 : 14,230.13 = 2,561.25 : x
  2. Step 2: Convert to fraction form
    9,486.75/14,230.13 = 2,561.25/x
  3. Step 3: Cross multiply
    9,486.75x = 14,230.13 × 2,561.25
  4. Step 4: Simplify right side
    9,486.75x = 36,446,907.66
  5. Step 5: Solve for x
    x = 36,446,907.66/9,486.75
  6. Step 6: Final answer
    x = 3,841.88

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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.