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Finding the Fourth Proportional to 9,745, 13,450.26 and 6,724.36

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Solution

The fourth proportional to 9,745, 13,450.26 and 6,724.36 is: 9,281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745 : 13,450.26 = 6,724.36 : x
  2. Step 2: Convert to fraction form
    9,745/13,450.26 = 6,724.36/x
  3. Step 3: Cross multiply
    9,745x = 13,450.26 × 6,724.36
  4. Step 4: Simplify right side
    9,745x = 90,444,390.33
  5. Step 5: Solve for x
    x = 90,444,390.33/9,745
  6. Step 6: Final answer
    x = 9,281.11

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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.