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Finding the Fourth Proportional to 10,668, 16,004.40 and 4,097.28

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Solution

The fourth proportional to 10,668, 16,004.40 and 4,097.28 is: 6,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,668 : 16,004.40 = 4,097.28 : x
  2. Step 2: Convert to fraction form
    10,668/16,004.40 = 4,097.28/x
  3. Step 3: Cross multiply
    10,668x = 16,004.40 × 4,097.28
  4. Step 4: Simplify right side
    10,668x = 65,574,508.03
  5. Step 5: Solve for x
    x = 65,574,508.03/10,668
  6. Step 6: Final answer
    x = 6,146.84

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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.