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Finding the Fourth Proportional to 16,102.54, 24,153 and 4,415.77

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Solution

The fourth proportional to 16,102.54, 24,153 and 4,415.77 is: 6,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.54 : 24,153 = 4,415.77 : x
  2. Step 2: Convert to fraction form
    16,102.54/24,153 = 4,415.77/x
  3. Step 3: Cross multiply
    16,102.54x = 24,153 × 4,415.77
  4. Step 4: Simplify right side
    16,102.54x = 106,654,092.81
  5. Step 5: Solve for x
    x = 106,654,092.81/16,102.54
  6. Step 6: Final answer
    x = 6,623.43

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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.