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Finding the Fourth Proportional to 12,495.52, 17,247.24 and 7,777

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Solution

The fourth proportional to 12,495.52, 17,247.24 and 7,777 is: 10,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,495.52 : 17,247.24 = 7,777 : x
  2. Step 2: Convert to fraction form
    12,495.52/17,247.24 = 7,777/x
  3. Step 3: Cross multiply
    12,495.52x = 17,247.24 × 7,777
  4. Step 4: Simplify right side
    12,495.52x = 134,131,785.48
  5. Step 5: Solve for x
    x = 134,131,785.48/12,495.52
  6. Step 6: Final answer
    x = 10,734.39

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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.