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Finding the Fourth Proportional to 11,571.88, 15,973.36 and 7,594.24

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Solution

The fourth proportional to 11,571.88, 15,973.36 and 7,594.24 is: 10,482.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.88 : 15,973.36 = 7,594.24 : x
  2. Step 2: Convert to fraction form
    11,571.88/15,973.36 = 7,594.24/x
  3. Step 3: Cross multiply
    11,571.88x = 15,973.36 × 7,594.24
  4. Step 4: Simplify right side
    11,571.88x = 121,305,529.45
  5. Step 5: Solve for x
    x = 121,305,529.45/11,571.88
  6. Step 6: Final answer
    x = 10,482.78

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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.