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Finding the Fourth Proportional to 12,347.38, 17,039.24 and 6,682.00

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Solution

The fourth proportional to 12,347.38, 17,039.24 and 6,682.00 is: 9,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.38 : 17,039.24 = 6,682.00 : x
  2. Step 2: Convert to fraction form
    12,347.38/17,039.24 = 6,682.00/x
  3. Step 3: Cross multiply
    12,347.38x = 17,039.24 × 6,682.00
  4. Step 4: Simplify right side
    12,347.38x = 113,856,116.48
  5. Step 5: Solve for x
    x = 113,856,116.48/12,347.38
  6. Step 6: Final answer
    x = 9,221.08

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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.