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Finding the Fourth Proportional to 9,249.98, 13,873.16 and 7,699.95

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Solution

The fourth proportional to 9,249.98, 13,873.16 and 7,699.95 is: 11,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.98 : 13,873.16 = 7,699.95 : x
  2. Step 2: Convert to fraction form
    9,249.98/13,873.16 = 7,699.95/x
  3. Step 3: Cross multiply
    9,249.98x = 13,873.16 × 7,699.95
  4. Step 4: Simplify right side
    9,249.98x = 106,822,657.59
  5. Step 5: Solve for x
    x = 106,822,657.59/9,249.98
  6. Step 6: Final answer
    x = 11,548.43

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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.