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Finding the Fourth Proportional to 11,754.95, 16,222.14 and 6,449.95

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Solution

The fourth proportional to 11,754.95, 16,222.14 and 6,449.95 is: 8,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.95 : 16,222.14 = 6,449.95 : x
  2. Step 2: Convert to fraction form
    11,754.95/16,222.14 = 6,449.95/x
  3. Step 3: Cross multiply
    11,754.95x = 16,222.14 × 6,449.95
  4. Step 4: Simplify right side
    11,754.95x = 104,632,012.17
  5. Step 5: Solve for x
    x = 104,632,012.17/11,754.95
  6. Step 6: Final answer
    x = 8,901.11

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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.