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Finding the Fourth Proportional to 11,614, 17,416.58 and 4,946.30

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Solution

The fourth proportional to 11,614, 17,416.58 and 4,946.30 is: 7,417.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614 : 17,416.58 = 4,946.30 : x
  2. Step 2: Convert to fraction form
    11,614/17,416.58 = 4,946.30/x
  3. Step 3: Cross multiply
    11,614x = 17,416.58 × 4,946.30
  4. Step 4: Simplify right side
    11,614x = 86,147,629.65
  5. Step 5: Solve for x
    x = 86,147,629.65/11,614
  6. Step 6: Final answer
    x = 7,417.57

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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.