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Finding the Fourth Proportional to 16,073.94, 24,091.44 and 6,820.50

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Solution

The fourth proportional to 16,073.94, 24,091.44 and 6,820.50 is: 10,222.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,073.94 : 24,091.44 = 6,820.50 : x
  2. Step 2: Convert to fraction form
    16,073.94/24,091.44 = 6,820.50/x
  3. Step 3: Cross multiply
    16,073.94x = 24,091.44 × 6,820.50
  4. Step 4: Simplify right side
    16,073.94x = 164,315,666.52
  5. Step 5: Solve for x
    x = 164,315,666.52/16,073.94
  6. Step 6: Final answer
    x = 10,222.49

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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.