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Finding the Fourth Proportional to 6,582.97, 9,872.18 and 4,728.58

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Solution

The fourth proportional to 6,582.97, 9,872.18 and 4,728.58 is: 7,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.97 : 9,872.18 = 4,728.58 : x
  2. Step 2: Convert to fraction form
    6,582.97/9,872.18 = 4,728.58/x
  3. Step 3: Cross multiply
    6,582.97x = 9,872.18 × 4,728.58
  4. Step 4: Simplify right side
    6,582.97x = 46,681,362.31
  5. Step 5: Solve for x
    x = 46,681,362.31/6,582.97
  6. Step 6: Final answer
    x = 7,091.23

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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.