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Finding the Fourth Proportional to 15,929, 21,984.46 and 9,645.02

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Solution

The fourth proportional to 15,929, 21,984.46 and 9,645.02 is: 13,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,929 : 21,984.46 = 9,645.02 : x
  2. Step 2: Convert to fraction form
    15,929/21,984.46 = 9,645.02/x
  3. Step 3: Cross multiply
    15,929x = 21,984.46 × 9,645.02
  4. Step 4: Simplify right side
    15,929x = 212,040,556.39
  5. Step 5: Solve for x
    x = 212,040,556.39/15,929
  6. Step 6: Final answer
    x = 13,311.61

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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.