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Finding the Fourth Proportional to 6,509.19, 9,763.79 and 3,048.87

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Solution

The fourth proportional to 6,509.19, 9,763.79 and 3,048.87 is: 4,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.19 : 9,763.79 = 3,048.87 : x
  2. Step 2: Convert to fraction form
    6,509.19/9,763.79 = 3,048.87/x
  3. Step 3: Cross multiply
    6,509.19x = 9,763.79 × 3,048.87
  4. Step 4: Simplify right side
    6,509.19x = 29,768,511.17
  5. Step 5: Solve for x
    x = 29,768,511.17/6,509.19
  6. Step 6: Final answer
    x = 4,573.31

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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.