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Finding the Fourth Proportional to 16,343.31, 24,514.97 and 4,656.56

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Solution

The fourth proportional to 16,343.31, 24,514.97 and 4,656.56 is: 6,984.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.31 : 24,514.97 = 4,656.56 : x
  2. Step 2: Convert to fraction form
    16,343.31/24,514.97 = 4,656.56/x
  3. Step 3: Cross multiply
    16,343.31x = 24,514.97 × 4,656.56
  4. Step 4: Simplify right side
    16,343.31x = 114,155,466.71
  5. Step 5: Solve for x
    x = 114,155,466.71/16,343.31
  6. Step 6: Final answer
    x = 6,984.84

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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.