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Finding the Fourth Proportional to 16,583.40, 22,884.82 and 9,131.40

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Solution

The fourth proportional to 16,583.40, 22,884.82 and 9,131.40 is: 12,601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.40 : 22,884.82 = 9,131.40 : x
  2. Step 2: Convert to fraction form
    16,583.40/22,884.82 = 9,131.40/x
  3. Step 3: Cross multiply
    16,583.40x = 22,884.82 × 9,131.40
  4. Step 4: Simplify right side
    16,583.40x = 208,970,445.35
  5. Step 5: Solve for x
    x = 208,970,445.35/16,583.40
  6. Step 6: Final answer
    x = 12,601.18

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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.