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Finding the Fourth Proportional to 6,494.80, 9,742.02 and 1,877.80

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Solution

The fourth proportional to 6,494.80, 9,742.02 and 1,877.80 is: 2,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.80 : 9,742.02 = 1,877.80 : x
  2. Step 2: Convert to fraction form
    6,494.80/9,742.02 = 1,877.80/x
  3. Step 3: Cross multiply
    6,494.80x = 9,742.02 × 1,877.80
  4. Step 4: Simplify right side
    6,494.80x = 18,293,565.16
  5. Step 5: Solve for x
    x = 18,293,565.16/6,494.80
  6. Step 6: Final answer
    x = 2,816.65

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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.