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Finding the Fourth Proportional to 12,813.50, 17,682.64 and 7,224.50

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Solution

The fourth proportional to 12,813.50, 17,682.64 and 7,224.50 is: 9,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.50 : 17,682.64 = 7,224.50 : x
  2. Step 2: Convert to fraction form
    12,813.50/17,682.64 = 7,224.50/x
  3. Step 3: Cross multiply
    12,813.50x = 17,682.64 × 7,224.50
  4. Step 4: Simplify right side
    12,813.50x = 127,748,232.68
  5. Step 5: Solve for x
    x = 127,748,232.68/12,813.50
  6. Step 6: Final answer
    x = 9,969.82

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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.