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Finding the Fourth Proportional to 12,633.57, 17,434.44 and 7,328.48

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Solution

The fourth proportional to 12,633.57, 17,434.44 and 7,328.48 is: 10,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,633.57 : 17,434.44 = 7,328.48 : x
  2. Step 2: Convert to fraction form
    12,633.57/17,434.44 = 7,328.48/x
  3. Step 3: Cross multiply
    12,633.57x = 17,434.44 × 7,328.48
  4. Step 4: Simplify right side
    12,633.57x = 127,767,857.68
  5. Step 5: Solve for x
    x = 127,767,857.68/12,633.57
  6. Step 6: Final answer
    x = 10,113.36

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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.