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Finding the Fourth Proportional to 15,913.50, 21,960.63 and 9,630.78

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Solution

The fourth proportional to 15,913.50, 21,960.63 and 9,630.78 is: 13,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,913.50 : 21,960.63 = 9,630.78 : x
  2. Step 2: Convert to fraction form
    15,913.50/21,960.63 = 9,630.78/x
  3. Step 3: Cross multiply
    15,913.50x = 21,960.63 × 9,630.78
  4. Step 4: Simplify right side
    15,913.50x = 211,497,996.19
  5. Step 5: Solve for x
    x = 211,497,996.19/15,913.50
  6. Step 6: Final answer
    x = 13,290.48

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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.