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Finding the Fourth Proportional to 13,295.96, 19,936.96 and 5,897.22

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Solution

The fourth proportional to 13,295.96, 19,936.96 and 5,897.22 is: 8,842.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,295.96 : 19,936.96 = 5,897.22 : x
  2. Step 2: Convert to fraction form
    13,295.96/19,936.96 = 5,897.22/x
  3. Step 3: Cross multiply
    13,295.96x = 19,936.96 × 5,897.22
  4. Step 4: Simplify right side
    13,295.96x = 117,572,639.25
  5. Step 5: Solve for x
    x = 117,572,639.25/13,295.96
  6. Step 6: Final answer
    x = 8,842.73

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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.