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Finding the Fourth Proportional to 6,987.84, 9,644 and 4,004

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Solution

The fourth proportional to 6,987.84, 9,644 and 4,004 is: 5,525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.84 : 9,644 = 4,004 : x
  2. Step 2: Convert to fraction form
    6,987.84/9,644 = 4,004/x
  3. Step 3: Cross multiply
    6,987.84x = 9,644 × 4,004
  4. Step 4: Simplify right side
    6,987.84x = 38,614,576
  5. Step 5: Solve for x
    x = 38,614,576/6,987.84
  6. Step 6: Final answer
    x = 5,525.97

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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.