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Finding the Fourth Proportional to 14,120, 21,174.08 and 6,334.08

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Solution

The fourth proportional to 14,120, 21,174.08 and 6,334.08 is: 9,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120 : 21,174.08 = 6,334.08 : x
  2. Step 2: Convert to fraction form
    14,120/21,174.08 = 6,334.08/x
  3. Step 3: Cross multiply
    14,120x = 21,174.08 × 6,334.08
  4. Step 4: Simplify right side
    14,120x = 134,118,316.65
  5. Step 5: Solve for x
    x = 134,118,316.65/14,120
  6. Step 6: Final answer
    x = 9,498.46

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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.