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Finding the Fourth Proportional to 13,192.09, 19,773.77 and 4,865.09

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Solution

The fourth proportional to 13,192.09, 19,773.77 and 4,865.09 is: 7,292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.09 : 19,773.77 = 4,865.09 : x
  2. Step 2: Convert to fraction form
    13,192.09/19,773.77 = 4,865.09/x
  3. Step 3: Cross multiply
    13,192.09x = 19,773.77 × 4,865.09
  4. Step 4: Simplify right side
    13,192.09x = 96,201,047.50
  5. Step 5: Solve for x
    x = 96,201,047.50/13,192.09
  6. Step 6: Final answer
    x = 7,292.33

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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.