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Finding the Fourth Proportional to 11,596.57, 16,004.06 and 6,560.79

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Solution

The fourth proportional to 11,596.57, 16,004.06 and 6,560.79 is: 9,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.57 : 16,004.06 = 6,560.79 : x
  2. Step 2: Convert to fraction form
    11,596.57/16,004.06 = 6,560.79/x
  3. Step 3: Cross multiply
    11,596.57x = 16,004.06 × 6,560.79
  4. Step 4: Simplify right side
    11,596.57x = 104,999,192.95
  5. Step 5: Solve for x
    x = 104,999,192.95/11,596.57
  6. Step 6: Final answer
    x = 9,054.33

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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.