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Finding the Fourth Proportional to 10,954.41, 15,117.08 and 5,986.41

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Solution

The fourth proportional to 10,954.41, 15,117.08 and 5,986.41 is: 8,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.41 : 15,117.08 = 5,986.41 : x
  2. Step 2: Convert to fraction form
    10,954.41/15,117.08 = 5,986.41/x
  3. Step 3: Cross multiply
    10,954.41x = 15,117.08 × 5,986.41
  4. Step 4: Simplify right side
    10,954.41x = 90,497,008.95
  5. Step 5: Solve for x
    x = 90,497,008.95/10,954.41
  6. Step 6: Final answer
    x = 8,261.24

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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.