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Finding the Fourth Proportional to 10,893.42, 16,339.19 and 6,734.07

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Solution

The fourth proportional to 10,893.42, 16,339.19 and 6,734.07 is: 10,100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,893.42 : 16,339.19 = 6,734.07 : x
  2. Step 2: Convert to fraction form
    10,893.42/16,339.19 = 6,734.07/x
  3. Step 3: Cross multiply
    10,893.42x = 16,339.19 × 6,734.07
  4. Step 4: Simplify right side
    10,893.42x = 110,029,215.53
  5. Step 5: Solve for x
    x = 110,029,215.53/10,893.42
  6. Step 6: Final answer
    x = 10,100.52

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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.