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Finding the Fourth Proportional to 16,265.41, 22,464.74 and 10,951

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Solution

The fourth proportional to 16,265.41, 22,464.74 and 10,951 is: 15,124.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.41 : 22,464.74 = 10,951 : x
  2. Step 2: Convert to fraction form
    16,265.41/22,464.74 = 10,951/x
  3. Step 3: Cross multiply
    16,265.41x = 22,464.74 × 10,951
  4. Step 4: Simplify right side
    16,265.41x = 246,011,367.74
  5. Step 5: Solve for x
    x = 246,011,367.74/16,265.41
  6. Step 6: Final answer
    x = 15,124.82

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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.