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Finding the Fourth Proportional to 12,130.71, 16,738.39 and 7,024.41

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Solution

The fourth proportional to 12,130.71, 16,738.39 and 7,024.41 is: 9,692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.71 : 16,738.39 = 7,024.41 : x
  2. Step 2: Convert to fraction form
    12,130.71/16,738.39 = 7,024.41/x
  3. Step 3: Cross multiply
    12,130.71x = 16,738.39 × 7,024.41
  4. Step 4: Simplify right side
    12,130.71x = 117,577,296.54
  5. Step 5: Solve for x
    x = 117,577,296.54/12,130.71
  6. Step 6: Final answer
    x = 9,692.53

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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.