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Finding the Fourth Proportional to 6,386.04, 9,580.68 and 2,004

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Solution

The fourth proportional to 6,386.04, 9,580.68 and 2,004 is: 3,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.04 : 9,580.68 = 2,004 : x
  2. Step 2: Convert to fraction form
    6,386.04/9,580.68 = 2,004/x
  3. Step 3: Cross multiply
    6,386.04x = 9,580.68 × 2,004
  4. Step 4: Simplify right side
    6,386.04x = 19,199,682.72
  5. Step 5: Solve for x
    x = 19,199,682.72/6,386.04
  6. Step 6: Final answer
    x = 3,006.51

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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.