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Finding the Fourth Proportional to 16,412.92, 24,619.28 and 7,046.84

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Solution

The fourth proportional to 16,412.92, 24,619.28 and 7,046.84 is: 10,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.92 : 24,619.28 = 7,046.84 : x
  2. Step 2: Convert to fraction form
    16,412.92/24,619.28 = 7,046.84/x
  3. Step 3: Cross multiply
    16,412.92x = 24,619.28 × 7,046.84
  4. Step 4: Simplify right side
    16,412.92x = 173,488,153.39
  5. Step 5: Solve for x
    x = 173,488,153.39/16,412.92
  6. Step 6: Final answer
    x = 10,570.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.