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Finding the Fourth Proportional to 16,599.06, 22,906.65 and 9,147.06

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Solution

The fourth proportional to 16,599.06, 22,906.65 and 9,147.06 is: 12,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,599.06 : 22,906.65 = 9,147.06 : x
  2. Step 2: Convert to fraction form
    16,599.06/22,906.65 = 9,147.06/x
  3. Step 3: Cross multiply
    16,599.06x = 22,906.65 × 9,147.06
  4. Step 4: Simplify right side
    16,599.06x = 209,528,501.95
  5. Step 5: Solve for x
    x = 209,528,501.95/16,599.06
  6. Step 6: Final answer
    x = 12,622.91

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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.