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Finding the Fourth Proportional to 6,505.50, 9,758.94 and 2,345.87

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Solution

The fourth proportional to 6,505.50, 9,758.94 and 2,345.87 is: 3,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.50 : 9,758.94 = 2,345.87 : x
  2. Step 2: Convert to fraction form
    6,505.50/9,758.94 = 2,345.87/x
  3. Step 3: Cross multiply
    6,505.50x = 9,758.94 × 2,345.87
  4. Step 4: Simplify right side
    6,505.50x = 22,893,204.58
  5. Step 5: Solve for x
    x = 22,893,204.58/6,505.50
  6. Step 6: Final answer
    x = 3,519.05

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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.