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Finding the Fourth Proportional to 16,343.22, 24,510.78 and 4,656.54

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Solution

The fourth proportional to 16,343.22, 24,510.78 and 4,656.54 is: 6,983.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.22 : 24,510.78 = 4,656.54 : x
  2. Step 2: Convert to fraction form
    16,343.22/24,510.78 = 4,656.54/x
  3. Step 3: Cross multiply
    16,343.22x = 24,510.78 × 4,656.54
  4. Step 4: Simplify right side
    16,343.22x = 114,135,427.50
  5. Step 5: Solve for x
    x = 114,135,427.50/16,343.22
  6. Step 6: Final answer
    x = 6,983.66

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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.