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Finding the Fourth Proportional to 10,404, 14,357.58 and 6,678

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Solution

The fourth proportional to 10,404, 14,357.58 and 6,678 is: 9,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404 : 14,357.58 = 6,678 : x
  2. Step 2: Convert to fraction form
    10,404/14,357.58 = 6,678/x
  3. Step 3: Cross multiply
    10,404x = 14,357.58 × 6,678
  4. Step 4: Simplify right side
    10,404x = 95,879,919.24
  5. Step 5: Solve for x
    x = 95,879,919.24/10,404
  6. Step 6: Final answer
    x = 9,215.68

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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.