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Finding the Fourth Proportional to 12,614.63, 17,408.72 and 7,025.63

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Solution

The fourth proportional to 12,614.63, 17,408.72 and 7,025.63 is: 9,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.63 : 17,408.72 = 7,025.63 : x
  2. Step 2: Convert to fraction form
    12,614.63/17,408.72 = 7,025.63/x
  3. Step 3: Cross multiply
    12,614.63x = 17,408.72 × 7,025.63
  4. Step 4: Simplify right side
    12,614.63x = 122,307,225.49
  5. Step 5: Solve for x
    x = 122,307,225.49/12,614.63
  6. Step 6: Final answer
    x = 9,695.66

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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.