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Finding the Fourth Proportional to 10,384, 15,575.99 and 9,348.34

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Solution

The fourth proportional to 10,384, 15,575.99 and 9,348.34 is: 14,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384 : 15,575.99 = 9,348.34 : x
  2. Step 2: Convert to fraction form
    10,384/15,575.99 = 9,348.34/x
  3. Step 3: Cross multiply
    10,384x = 15,575.99 × 9,348.34
  4. Step 4: Simplify right side
    10,384x = 145,609,650.36
  5. Step 5: Solve for x
    x = 145,609,650.36/10,384
  6. Step 6: Final answer
    x = 14,022.50

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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.