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Finding the Fourth Proportional to 15,978.96, 22,049.64 and 10,001.52

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Solution

The fourth proportional to 15,978.96, 22,049.64 and 10,001.52 is: 13,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978.96 : 22,049.64 = 10,001.52 : x
  2. Step 2: Convert to fraction form
    15,978.96/22,049.64 = 10,001.52/x
  3. Step 3: Cross multiply
    15,978.96x = 22,049.64 × 10,001.52
  4. Step 4: Simplify right side
    15,978.96x = 220,529,915.45
  5. Step 5: Solve for x
    x = 220,529,915.45/15,978.96
  6. Step 6: Final answer
    x = 13,801.27

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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.