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Finding the Fourth Proportional to 16,646.24, 22,971.84 and 9,572.24

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Solution

The fourth proportional to 16,646.24, 22,971.84 and 9,572.24 is: 13,209.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.24 : 22,971.84 = 9,572.24 : x
  2. Step 2: Convert to fraction form
    16,646.24/22,971.84 = 9,572.24/x
  3. Step 3: Cross multiply
    16,646.24x = 22,971.84 × 9,572.24
  4. Step 4: Simplify right side
    16,646.24x = 219,891,965.72
  5. Step 5: Solve for x
    x = 219,891,965.72/16,646.24
  6. Step 6: Final answer
    x = 13,209.71

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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.