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Finding the Fourth Proportional to 16,606.86, 22,916.43 and 9,154.86

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Solution

The fourth proportional to 16,606.86, 22,916.43 and 9,154.86 is: 12,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,606.86 : 22,916.43 = 9,154.86 : x
  2. Step 2: Convert to fraction form
    16,606.86/22,916.43 = 9,154.86/x
  3. Step 3: Cross multiply
    16,606.86x = 22,916.43 × 9,154.86
  4. Step 4: Simplify right side
    16,606.86x = 209,796,708.35
  5. Step 5: Solve for x
    x = 209,796,708.35/16,606.86
  6. Step 6: Final answer
    x = 12,633.14

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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.