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Finding the Fourth Proportional to 11,596.24, 15,999 and 6,559.96

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Solution

The fourth proportional to 11,596.24, 15,999 and 6,559.96 is: 9,050.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.24 : 15,999 = 6,559.96 : x
  2. Step 2: Convert to fraction form
    11,596.24/15,999 = 6,559.96/x
  3. Step 3: Cross multiply
    11,596.24x = 15,999 × 6,559.96
  4. Step 4: Simplify right side
    11,596.24x = 104,952,800.04
  5. Step 5: Solve for x
    x = 104,952,800.04/11,596.24
  6. Step 6: Final answer
    x = 9,050.59

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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.