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Finding the Fourth Proportional to 9,930.94, 13,705.41 and 6,567.94

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Solution

The fourth proportional to 9,930.94, 13,705.41 and 6,567.94 is: 9,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.94 : 13,705.41 = 6,567.94 : x
  2. Step 2: Convert to fraction form
    9,930.94/13,705.41 = 6,567.94/x
  3. Step 3: Cross multiply
    9,930.94x = 13,705.41 × 6,567.94
  4. Step 4: Simplify right side
    9,930.94x = 90,016,310.56
  5. Step 5: Solve for x
    x = 90,016,310.56/9,930.94
  6. Step 6: Final answer
    x = 9,064.23

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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.