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Finding the Fourth Proportional to 9,049.82, 13,578.62 and 4,888.98

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Solution

The fourth proportional to 9,049.82, 13,578.62 and 4,888.98 is: 7,335.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049.82 : 13,578.62 = 4,888.98 : x
  2. Step 2: Convert to fraction form
    9,049.82/13,578.62 = 4,888.98/x
  3. Step 3: Cross multiply
    9,049.82x = 13,578.62 × 4,888.98
  4. Step 4: Simplify right side
    9,049.82x = 66,385,577.16
  5. Step 5: Solve for x
    x = 66,385,577.16/9,049.82
  6. Step 6: Final answer
    x = 7,335.57

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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.