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Finding the Fourth Proportional to 6,698.48, 10,046.41 and 4,927.01

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Solution

The fourth proportional to 6,698.48, 10,046.41 and 4,927.01 is: 7,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.48 : 10,046.41 = 4,927.01 : x
  2. Step 2: Convert to fraction form
    6,698.48/10,046.41 = 4,927.01/x
  3. Step 3: Cross multiply
    6,698.48x = 10,046.41 × 4,927.01
  4. Step 4: Simplify right side
    6,698.48x = 49,498,737.90
  5. Step 5: Solve for x
    x = 49,498,737.90/6,698.48
  6. Step 6: Final answer
    x = 7,389.55

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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.