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Finding the Fourth Proportional to 7,048.38, 9,730.62 and 4,813.59

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Solution

The fourth proportional to 7,048.38, 9,730.62 and 4,813.59 is: 6,645.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.38 : 9,730.62 = 4,813.59 : x
  2. Step 2: Convert to fraction form
    7,048.38/9,730.62 = 4,813.59/x
  3. Step 3: Cross multiply
    7,048.38x = 9,730.62 × 4,813.59
  4. Step 4: Simplify right side
    7,048.38x = 46,839,215.13
  5. Step 5: Solve for x
    x = 46,839,215.13/7,048.38
  6. Step 6: Final answer
    x = 6,645.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.