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Finding the Fourth Proportional to 12,913.50, 17,820.63 and 7,324.50

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Solution

The fourth proportional to 12,913.50, 17,820.63 and 7,324.50 is: 10,107.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.50 : 17,820.63 = 7,324.50 : x
  2. Step 2: Convert to fraction form
    12,913.50/17,820.63 = 7,324.50/x
  3. Step 3: Cross multiply
    12,913.50x = 17,820.63 × 7,324.50
  4. Step 4: Simplify right side
    12,913.50x = 130,527,204.44
  5. Step 5: Solve for x
    x = 130,527,204.44/12,913.50
  6. Step 6: Final answer
    x = 10,107.81

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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.