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Finding the Fourth Proportional to 16,606, 22,916.76 and 9,154.48

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Solution

The fourth proportional to 16,606, 22,916.76 and 9,154.48 is: 12,633.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,606 : 22,916.76 = 9,154.48 : x
  2. Step 2: Convert to fraction form
    16,606/22,916.76 = 9,154.48/x
  3. Step 3: Cross multiply
    16,606x = 22,916.76 × 9,154.48
  4. Step 4: Simplify right side
    16,606x = 209,791,021.08
  5. Step 5: Solve for x
    x = 209,791,021.08/16,606
  6. Step 6: Final answer
    x = 12,633.45

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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.