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Finding the Fourth Proportional to 13,229.25, 19,827.47 and 7,301.11

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Solution

The fourth proportional to 13,229.25, 19,827.47 and 7,301.11 is: 10,942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.25 : 19,827.47 = 7,301.11 : x
  2. Step 2: Convert to fraction form
    13,229.25/19,827.47 = 7,301.11/x
  3. Step 3: Cross multiply
    13,229.25x = 19,827.47 × 7,301.11
  4. Step 4: Simplify right side
    13,229.25x = 144,762,539.49
  5. Step 5: Solve for x
    x = 144,762,539.49/13,229.25
  6. Step 6: Final answer
    x = 10,942.61

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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.