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Finding the Fourth Proportional to 16,541, 22,826.28 and 9,370.88

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Solution

The fourth proportional to 16,541, 22,826.28 and 9,370.88 is: 12,931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541 : 22,826.28 = 9,370.88 : x
  2. Step 2: Convert to fraction form
    16,541/22,826.28 = 9,370.88/x
  3. Step 3: Cross multiply
    16,541x = 22,826.28 × 9,370.88
  4. Step 4: Simplify right side
    16,541x = 213,902,330.73
  5. Step 5: Solve for x
    x = 213,902,330.73/16,541
  6. Step 6: Final answer
    x = 12,931.64

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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.