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Finding the Fourth Proportional to 14,049, 19,387.62 and 8,461.08

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Solution

The fourth proportional to 14,049, 19,387.62 and 8,461.08 is: 11,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,049 : 19,387.62 = 8,461.08 : x
  2. Step 2: Convert to fraction form
    14,049/19,387.62 = 8,461.08/x
  3. Step 3: Cross multiply
    14,049x = 19,387.62 × 8,461.08
  4. Step 4: Simplify right side
    14,049x = 164,040,203.83
  5. Step 5: Solve for x
    x = 164,040,203.83/14,049
  6. Step 6: Final answer
    x = 11,676.29

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1.5x scale

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.