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Finding the Fourth Proportional to 10,761.11, 14,852.09 and 8,965.74

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Solution

The fourth proportional to 10,761.11, 14,852.09 and 8,965.74 is: 12,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.11 : 14,852.09 = 8,965.74 : x
  2. Step 2: Convert to fraction form
    10,761.11/14,852.09 = 8,965.74/x
  3. Step 3: Cross multiply
    10,761.11x = 14,852.09 × 8,965.74
  4. Step 4: Simplify right side
    10,761.11x = 133,159,932.57
  5. Step 5: Solve for x
    x = 133,159,932.57/10,761.11
  6. Step 6: Final answer
    x = 12,374.19

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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.