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Finding the Fourth Proportional to 11,522.60, 17,283.90 and 9,218.60

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Solution

The fourth proportional to 11,522.60, 17,283.90 and 9,218.60 is: 13,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.60 : 17,283.90 = 9,218.60 : x
  2. Step 2: Convert to fraction form
    11,522.60/17,283.90 = 9,218.60/x
  3. Step 3: Cross multiply
    11,522.60x = 17,283.90 × 9,218.60
  4. Step 4: Simplify right side
    11,522.60x = 159,333,360.54
  5. Step 5: Solve for x
    x = 159,333,360.54/11,522.60
  6. Step 6: Final answer
    x = 13,827.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.