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Finding the Fourth Proportional to 19,496.64, 29,244.96 and 5,645.64

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Solution

The fourth proportional to 19,496.64, 29,244.96 and 5,645.64 is: 8,468.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,496.64 : 29,244.96 = 5,645.64 : x
  2. Step 2: Convert to fraction form
    19,496.64/29,244.96 = 5,645.64/x
  3. Step 3: Cross multiply
    19,496.64x = 29,244.96 × 5,645.64
  4. Step 4: Simplify right side
    19,496.64x = 165,106,515.97
  5. Step 5: Solve for x
    x = 165,106,515.97/19,496.64
  6. Step 6: Final answer
    x = 8,468.46

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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.