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Finding the Fourth Proportional to 16,476, 22,736.38 and 9,402.07

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Solution

The fourth proportional to 16,476, 22,736.38 and 9,402.07 is: 12,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476 : 22,736.38 = 9,402.07 : x
  2. Step 2: Convert to fraction form
    16,476/22,736.38 = 9,402.07/x
  3. Step 3: Cross multiply
    16,476x = 22,736.38 × 9,402.07
  4. Step 4: Simplify right side
    16,476x = 213,769,036.31
  5. Step 5: Solve for x
    x = 213,769,036.31/16,476
  6. Step 6: Final answer
    x = 12,974.57

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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.