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Finding the Fourth Proportional to 14,048, 21,065.04 and 4,684.80

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Solution

The fourth proportional to 14,048, 21,065.04 and 4,684.80 is: 7,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048 : 21,065.04 = 4,684.80 : x
  2. Step 2: Convert to fraction form
    14,048/21,065.04 = 4,684.80/x
  3. Step 3: Cross multiply
    14,048x = 21,065.04 × 4,684.80
  4. Step 4: Simplify right side
    14,048x = 98,685,499.39
  5. Step 5: Solve for x
    x = 98,685,499.39/14,048
  6. Step 6: Final answer
    x = 7,024.88

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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.