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Finding the Fourth Proportional to 11,311.56, 15,609 and 6,596.28

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Solution

The fourth proportional to 11,311.56, 15,609 and 6,596.28 is: 9,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.56 : 15,609 = 6,596.28 : x
  2. Step 2: Convert to fraction form
    11,311.56/15,609 = 6,596.28/x
  3. Step 3: Cross multiply
    11,311.56x = 15,609 × 6,596.28
  4. Step 4: Simplify right side
    11,311.56x = 102,961,334.52
  5. Step 5: Solve for x
    x = 102,961,334.52/11,311.56
  6. Step 6: Final answer
    x = 9,102.31

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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.