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Finding the Fourth Proportional to 11,895.48, 16,415.88 and 7,711.08

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Solution

The fourth proportional to 11,895.48, 16,415.88 and 7,711.08 is: 10,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.48 : 16,415.88 = 7,711.08 : x
  2. Step 2: Convert to fraction form
    11,895.48/16,415.88 = 7,711.08/x
  3. Step 3: Cross multiply
    11,895.48x = 16,415.88 × 7,711.08
  4. Step 4: Simplify right side
    11,895.48x = 126,584,163.95
  5. Step 5: Solve for x
    x = 126,584,163.95/11,895.48
  6. Step 6: Final answer
    x = 10,641.37

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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.