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Finding the Fourth Proportional to 10,843.82, 16,266.80 and 2,946.45

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Solution

The fourth proportional to 10,843.82, 16,266.80 and 2,946.45 is: 4,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.82 : 16,266.80 = 2,946.45 : x
  2. Step 2: Convert to fraction form
    10,843.82/16,266.80 = 2,946.45/x
  3. Step 3: Cross multiply
    10,843.82x = 16,266.80 × 2,946.45
  4. Step 4: Simplify right side
    10,843.82x = 47,929,298.13
  5. Step 5: Solve for x
    x = 47,929,298.13/10,843.82
  6. Step 6: Final answer
    x = 4,419.97

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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.