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Finding the Fourth Proportional to 16,573.64, 22,873.14 and 9,122.12

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Solution

The fourth proportional to 16,573.64, 22,873.14 and 9,122.12 is: 12,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,573.64 : 22,873.14 = 9,122.12 : x
  2. Step 2: Convert to fraction form
    16,573.64/22,873.14 = 9,122.12/x
  3. Step 3: Cross multiply
    16,573.64x = 22,873.14 × 9,122.12
  4. Step 4: Simplify right side
    16,573.64x = 208,651,527.86
  5. Step 5: Solve for x
    x = 208,651,527.86/16,573.64
  6. Step 6: Final answer
    x = 12,589.36

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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.