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Finding the Fourth Proportional to 9,561, 13,194.86 and 5,369.25

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Solution

The fourth proportional to 9,561, 13,194.86 and 5,369.25 is: 7,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561 : 13,194.86 = 5,369.25 : x
  2. Step 2: Convert to fraction form
    9,561/13,194.86 = 5,369.25/x
  3. Step 3: Cross multiply
    9,561x = 13,194.86 × 5,369.25
  4. Step 4: Simplify right side
    9,561x = 70,846,475.21
  5. Step 5: Solve for x
    x = 70,846,475.21/9,561
  6. Step 6: Final answer
    x = 7,409.94

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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.