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Finding the Fourth Proportional to 16,201.42, 24,303 and 5,108.98

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Solution

The fourth proportional to 16,201.42, 24,303 and 5,108.98 is: 7,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.42 : 24,303 = 5,108.98 : x
  2. Step 2: Convert to fraction form
    16,201.42/24,303 = 5,108.98/x
  3. Step 3: Cross multiply
    16,201.42x = 24,303 × 5,108.98
  4. Step 4: Simplify right side
    16,201.42x = 124,163,540.94
  5. Step 5: Solve for x
    x = 124,163,540.94/16,201.42
  6. Step 6: Final answer
    x = 7,663.74

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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.