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Finding the Fourth Proportional to 11,571.24, 15,969 and 6,533.61

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Solution

The fourth proportional to 11,571.24, 15,969 and 6,533.61 is: 9,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.24 : 15,969 = 6,533.61 : x
  2. Step 2: Convert to fraction form
    11,571.24/15,969 = 6,533.61/x
  3. Step 3: Cross multiply
    11,571.24x = 15,969 × 6,533.61
  4. Step 4: Simplify right side
    11,571.24x = 104,335,218.09
  5. Step 5: Solve for x
    x = 104,335,218.09/11,571.24
  6. Step 6: Final answer
    x = 9,016.77

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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.