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Finding the Fourth Proportional to 11,852.16, 16,352.64 and 7,661.76

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Solution

The fourth proportional to 11,852.16, 16,352.64 and 7,661.76 is: 10,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.16 : 16,352.64 = 7,661.76 : x
  2. Step 2: Convert to fraction form
    11,852.16/16,352.64 = 7,661.76/x
  3. Step 3: Cross multiply
    11,852.16x = 16,352.64 × 7,661.76
  4. Step 4: Simplify right side
    11,852.16x = 125,290,003.05
  5. Step 5: Solve for x
    x = 125,290,003.05/11,852.16
  6. Step 6: Final answer
    x = 10,571.07

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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.