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Finding the Fourth Proportional to 10,682.15, 14,732.96 and 9,965.95

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Solution

The fourth proportional to 10,682.15, 14,732.96 and 9,965.95 is: 13,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.15 : 14,732.96 = 9,965.95 : x
  2. Step 2: Convert to fraction form
    10,682.15/14,732.96 = 9,965.95/x
  3. Step 3: Cross multiply
    10,682.15x = 14,732.96 × 9,965.95
  4. Step 4: Simplify right side
    10,682.15x = 146,827,938.92
  5. Step 5: Solve for x
    x = 146,827,938.92/10,682.15
  6. Step 6: Final answer
    x = 13,745.17

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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.