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Finding the Fourth Proportional to 12,708.42, 17,537.18 and 6,965.84

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Solution

The fourth proportional to 12,708.42, 17,537.18 and 6,965.84 is: 9,612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,708.42 : 17,537.18 = 6,965.84 : x
  2. Step 2: Convert to fraction form
    12,708.42/17,537.18 = 6,965.84/x
  3. Step 3: Cross multiply
    12,708.42x = 17,537.18 × 6,965.84
  4. Step 4: Simplify right side
    12,708.42x = 122,161,189.93
  5. Step 5: Solve for x
    x = 122,161,189.93/12,708.42
  6. Step 6: Final answer
    x = 9,612.62

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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.