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Finding the Fourth Proportional to 10,899.96, 16,348.02 and 2,894.82

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Solution

The fourth proportional to 10,899.96, 16,348.02 and 2,894.82 is: 4,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899.96 : 16,348.02 = 2,894.82 : x
  2. Step 2: Convert to fraction form
    10,899.96/16,348.02 = 2,894.82/x
  3. Step 3: Cross multiply
    10,899.96x = 16,348.02 × 2,894.82
  4. Step 4: Simplify right side
    10,899.96x = 47,324,575.26
  5. Step 5: Solve for x
    x = 47,324,575.26/10,899.96
  6. Step 6: Final answer
    x = 4,341.72

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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.