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Finding the Fourth Proportional to 13,208.54, 19,799.46 and 8,281.64

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Solution

The fourth proportional to 13,208.54, 19,799.46 and 8,281.64 is: 12,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.54 : 19,799.46 = 8,281.64 : x
  2. Step 2: Convert to fraction form
    13,208.54/19,799.46 = 8,281.64/x
  3. Step 3: Cross multiply
    13,208.54x = 19,799.46 × 8,281.64
  4. Step 4: Simplify right side
    13,208.54x = 163,971,999.91
  5. Step 5: Solve for x
    x = 163,971,999.91/13,208.54
  6. Step 6: Final answer
    x = 12,414.09

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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.