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Finding the Fourth Proportional to 14,497.77, 21,749.39 and 8,264.82

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Solution

The fourth proportional to 14,497.77, 21,749.39 and 8,264.82 is: 12,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.77 : 21,749.39 = 8,264.82 : x
  2. Step 2: Convert to fraction form
    14,497.77/21,749.39 = 8,264.82/x
  3. Step 3: Cross multiply
    14,497.77x = 21,749.39 × 8,264.82
  4. Step 4: Simplify right side
    14,497.77x = 179,754,793.46
  5. Step 5: Solve for x
    x = 179,754,793.46/14,497.77
  6. Step 6: Final answer
    x = 12,398.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.