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Finding the Fourth Proportional to 6,360.69, 9,542.06 and 1,977.24

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Solution

The fourth proportional to 6,360.69, 9,542.06 and 1,977.24 is: 2,966.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,360.69 : 9,542.06 = 1,977.24 : x
  2. Step 2: Convert to fraction form
    6,360.69/9,542.06 = 1,977.24/x
  3. Step 3: Cross multiply
    6,360.69x = 9,542.06 × 1,977.24
  4. Step 4: Simplify right side
    6,360.69x = 18,866,932.83
  5. Step 5: Solve for x
    x = 18,866,932.83/6,360.69
  6. Step 6: Final answer
    x = 2,966.18

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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.