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Finding the Fourth Proportional to 16,402.11, 22,635 and 9,328.65

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Solution

The fourth proportional to 16,402.11, 22,635 and 9,328.65 is: 12,873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.11 : 22,635 = 9,328.65 : x
  2. Step 2: Convert to fraction form
    16,402.11/22,635 = 9,328.65/x
  3. Step 3: Cross multiply
    16,402.11x = 22,635 × 9,328.65
  4. Step 4: Simplify right side
    16,402.11x = 211,153,992.75
  5. Step 5: Solve for x
    x = 211,153,992.75/16,402.11
  6. Step 6: Final answer
    x = 12,873.59

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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.