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Finding the Fourth Proportional to 16,583.91, 22,885.79 and 9,030.24

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Solution

The fourth proportional to 16,583.91, 22,885.79 and 9,030.24 is: 12,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.91 : 22,885.79 = 9,030.24 : x
  2. Step 2: Convert to fraction form
    16,583.91/22,885.79 = 9,030.24/x
  3. Step 3: Cross multiply
    16,583.91x = 22,885.79 × 9,030.24
  4. Step 4: Simplify right side
    16,583.91x = 206,664,100.05
  5. Step 5: Solve for x
    x = 206,664,100.05/16,583.91
  6. Step 6: Final answer
    x = 12,461.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.