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Finding the Fourth Proportional to 15,924.50, 21,978.22 and 11,463.02

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Solution

The fourth proportional to 15,924.50, 21,978.22 and 11,463.02 is: 15,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.50 : 21,978.22 = 11,463.02 : x
  2. Step 2: Convert to fraction form
    15,924.50/21,978.22 = 11,463.02/x
  3. Step 3: Cross multiply
    15,924.50x = 21,978.22 × 11,463.02
  4. Step 4: Simplify right side
    15,924.50x = 251,936,775.42
  5. Step 5: Solve for x
    x = 251,936,775.42/15,924.50
  6. Step 6: Final answer
    x = 15,820.70

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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.