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Finding the Fourth Proportional to 12,274.65, 16,939.14 and 6,969.59

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Solution

The fourth proportional to 12,274.65, 16,939.14 and 6,969.59 is: 9,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.65 : 16,939.14 = 6,969.59 : x
  2. Step 2: Convert to fraction form
    12,274.65/16,939.14 = 6,969.59/x
  3. Step 3: Cross multiply
    12,274.65x = 16,939.14 × 6,969.59
  4. Step 4: Simplify right side
    12,274.65x = 118,058,741.21
  5. Step 5: Solve for x
    x = 118,058,741.21/12,274.65
  6. Step 6: Final answer
    x = 9,618.09

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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.