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Finding the Fourth Proportional to 9,274.66, 13,844.50 and 8,589.40

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Solution

The fourth proportional to 9,274.66, 13,844.50 and 8,589.40 is: 12,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.66 : 13,844.50 = 8,589.40 : x
  2. Step 2: Convert to fraction form
    9,274.66/13,844.50 = 8,589.40/x
  3. Step 3: Cross multiply
    9,274.66x = 13,844.50 × 8,589.40
  4. Step 4: Simplify right side
    9,274.66x = 118,915,892.22
  5. Step 5: Solve for x
    x = 118,915,892.22/9,274.66
  6. Step 6: Final answer
    x = 12,821.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.