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Finding the Fourth Proportional to 9,705.97, 13,393.48 and 5,930.97

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Solution

The fourth proportional to 9,705.97, 13,393.48 and 5,930.97 is: 8,184.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.97 : 13,393.48 = 5,930.97 : x
  2. Step 2: Convert to fraction form
    9,705.97/13,393.48 = 5,930.97/x
  3. Step 3: Cross multiply
    9,705.97x = 13,393.48 × 5,930.97
  4. Step 4: Simplify right side
    9,705.97x = 79,436,328.08
  5. Step 5: Solve for x
    x = 79,436,328.08/9,705.97
  6. Step 6: Final answer
    x = 8,184.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.