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Finding the Fourth Proportional to 12,884.70, 17,813.40 and 9,522.22

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Solution

The fourth proportional to 12,884.70, 17,813.40 and 9,522.22 is: 13,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.70 : 17,813.40 = 9,522.22 : x
  2. Step 2: Convert to fraction form
    12,884.70/17,813.40 = 9,522.22/x
  3. Step 3: Cross multiply
    12,884.70x = 17,813.40 × 9,522.22
  4. Step 4: Simplify right side
    12,884.70x = 169,623,113.75
  5. Step 5: Solve for x
    x = 169,623,113.75/12,884.70
  6. Step 6: Final answer
    x = 13,164.69

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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.