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Finding the Fourth Proportional to 6,516.68, 9,775.77 and 1,899.68

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Solution

The fourth proportional to 6,516.68, 9,775.77 and 1,899.68 is: 2,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.68 : 9,775.77 = 1,899.68 : x
  2. Step 2: Convert to fraction form
    6,516.68/9,775.77 = 1,899.68/x
  3. Step 3: Cross multiply
    6,516.68x = 9,775.77 × 1,899.68
  4. Step 4: Simplify right side
    6,516.68x = 18,570,834.75
  5. Step 5: Solve for x
    x = 18,570,834.75/6,516.68
  6. Step 6: Final answer
    x = 2,849.74

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Similar ratio
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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.