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Finding the Fourth Proportional to 6,595.63, 9,890.78 and 2,377.68

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Solution

The fourth proportional to 6,595.63, 9,890.78 and 2,377.68 is: 3,565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.63 : 9,890.78 = 2,377.68 : x
  2. Step 2: Convert to fraction form
    6,595.63/9,890.78 = 2,377.68/x
  3. Step 3: Cross multiply
    6,595.63x = 9,890.78 × 2,377.68
  4. Step 4: Simplify right side
    6,595.63x = 23,517,108.69
  5. Step 5: Solve for x
    x = 23,517,108.69/6,595.63
  6. Step 6: Final answer
    x = 3,565.56

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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.