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Finding the Fourth Proportional to 10,757.92, 16,127.16 and 3,830.80

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Solution

The fourth proportional to 10,757.92, 16,127.16 and 3,830.80 is: 5,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.92 : 16,127.16 = 3,830.80 : x
  2. Step 2: Convert to fraction form
    10,757.92/16,127.16 = 3,830.80/x
  3. Step 3: Cross multiply
    10,757.92x = 16,127.16 × 3,830.80
  4. Step 4: Simplify right side
    10,757.92x = 61,779,924.53
  5. Step 5: Solve for x
    x = 61,779,924.53/10,757.92
  6. Step 6: Final answer
    x = 5,742.74

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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.