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Finding the Fourth Proportional to 9,682.94, 14,505.15 and 7,593.14

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Solution

The fourth proportional to 9,682.94, 14,505.15 and 7,593.14 is: 11,374.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.94 : 14,505.15 = 7,593.14 : x
  2. Step 2: Convert to fraction form
    9,682.94/14,505.15 = 7,593.14/x
  3. Step 3: Cross multiply
    9,682.94x = 14,505.15 × 7,593.14
  4. Step 4: Simplify right side
    9,682.94x = 110,139,634.67
  5. Step 5: Solve for x
    x = 110,139,634.67/9,682.94
  6. Step 6: Final answer
    x = 11,374.61

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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.