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Finding the Fourth Proportional to 6,624, 9,143.04 and 4,416

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Solution

The fourth proportional to 6,624, 9,143.04 and 4,416 is: 6,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624 : 9,143.04 = 4,416 : x
  2. Step 2: Convert to fraction form
    6,624/9,143.04 = 4,416/x
  3. Step 3: Cross multiply
    6,624x = 9,143.04 × 4,416
  4. Step 4: Simplify right side
    6,624x = 40,375,664.64
  5. Step 5: Solve for x
    x = 40,375,664.64/6,624
  6. Step 6: Final answer
    x = 6,095.36

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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.