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Finding the Fourth Proportional to 11,084.88, 16,578.72 and 9,646.32

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Solution

The fourth proportional to 11,084.88, 16,578.72 and 9,646.32 is: 14,427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,084.88 : 16,578.72 = 9,646.32 : x
  2. Step 2: Convert to fraction form
    11,084.88/16,578.72 = 9,646.32/x
  3. Step 3: Cross multiply
    11,084.88x = 16,578.72 × 9,646.32
  4. Step 4: Simplify right side
    11,084.88x = 159,923,638.31
  5. Step 5: Solve for x
    x = 159,923,638.31/11,084.88
  6. Step 6: Final answer
    x = 14,427.19

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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.