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Finding the Fourth Proportional to 6,986.54, 9,639.08 and 4,744.52

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Solution

The fourth proportional to 6,986.54, 9,639.08 and 4,744.52 is: 6,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.54 : 9,639.08 = 4,744.52 : x
  2. Step 2: Convert to fraction form
    6,986.54/9,639.08 = 4,744.52/x
  3. Step 3: Cross multiply
    6,986.54x = 9,639.08 × 4,744.52
  4. Step 4: Simplify right side
    6,986.54x = 45,732,807.84
  5. Step 5: Solve for x
    x = 45,732,807.84/6,986.54
  6. Step 6: Final answer
    x = 6,545.84

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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.