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Finding the Fourth Proportional to 10,907.96, 16,324.68 and 6,746.18

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Solution

The fourth proportional to 10,907.96, 16,324.68 and 6,746.18 is: 10,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.96 : 16,324.68 = 6,746.18 : x
  2. Step 2: Convert to fraction form
    10,907.96/16,324.68 = 6,746.18/x
  3. Step 3: Cross multiply
    10,907.96x = 16,324.68 × 6,746.18
  4. Step 4: Simplify right side
    10,907.96x = 110,129,229.72
  5. Step 5: Solve for x
    x = 110,129,229.72/10,907.96
  6. Step 6: Final answer
    x = 10,096.23

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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.