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Finding the Fourth Proportional to 13,291.98, 19,930.96 and 5,893.23

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Solution

The fourth proportional to 13,291.98, 19,930.96 and 5,893.23 is: 8,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.98 : 19,930.96 = 5,893.23 : x
  2. Step 2: Convert to fraction form
    13,291.98/19,930.96 = 5,893.23/x
  3. Step 3: Cross multiply
    13,291.98x = 19,930.96 × 5,893.23
  4. Step 4: Simplify right side
    13,291.98x = 117,457,731.40
  5. Step 5: Solve for x
    x = 117,457,731.40/13,291.98
  6. Step 6: Final answer
    x = 8,836.74

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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.