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Finding the Fourth Proportional to 10,725.82, 14,808.49 and 8,741.12

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Solution

The fourth proportional to 10,725.82, 14,808.49 and 8,741.12 is: 12,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.82 : 14,808.49 = 8,741.12 : x
  2. Step 2: Convert to fraction form
    10,725.82/14,808.49 = 8,741.12/x
  3. Step 3: Cross multiply
    10,725.82x = 14,808.49 × 8,741.12
  4. Step 4: Simplify right side
    10,725.82x = 129,442,692.21
  5. Step 5: Solve for x
    x = 129,442,692.21/10,725.82
  6. Step 6: Final answer
    x = 12,068.33

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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.