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Finding the Fourth Proportional to 10,954.16, 15,116.73 and 5,986.16

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Solution

The fourth proportional to 10,954.16, 15,116.73 and 5,986.16 is: 8,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.16 : 15,116.73 = 5,986.16 : x
  2. Step 2: Convert to fraction form
    10,954.16/15,116.73 = 5,986.16/x
  3. Step 3: Cross multiply
    10,954.16x = 15,116.73 × 5,986.16
  4. Step 4: Simplify right side
    10,954.16x = 90,491,164.46
  5. Step 5: Solve for x
    x = 90,491,164.46/10,954.16
  6. Step 6: Final answer
    x = 8,260.89

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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.