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Finding the Fourth Proportional to 12,675.53, 17,486.16 and 8,200.69

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Solution

The fourth proportional to 12,675.53, 17,486.16 and 8,200.69 is: 11,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.53 : 17,486.16 = 8,200.69 : x
  2. Step 2: Convert to fraction form
    12,675.53/17,486.16 = 8,200.69/x
  3. Step 3: Cross multiply
    12,675.53x = 17,486.16 × 8,200.69
  4. Step 4: Simplify right side
    12,675.53x = 143,398,577.45
  5. Step 5: Solve for x
    x = 143,398,577.45/12,675.53
  6. Step 6: Final answer
    x = 11,313.02

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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.