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Finding the Fourth Proportional to 9,302.82, 13,954.22 and 8,835.65

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Solution

The fourth proportional to 9,302.82, 13,954.22 and 8,835.65 is: 13,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.82 : 13,954.22 = 8,835.65 : x
  2. Step 2: Convert to fraction form
    9,302.82/13,954.22 = 8,835.65/x
  3. Step 3: Cross multiply
    9,302.82x = 13,954.22 × 8,835.65
  4. Step 4: Simplify right side
    9,302.82x = 123,294,489.99
  5. Step 5: Solve for x
    x = 123,294,489.99/9,302.82
  6. Step 6: Final answer
    x = 13,253.45

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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.