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Finding the Fourth Proportional to 12,465, 18,697.50 and 5,073.48

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Solution

The fourth proportional to 12,465, 18,697.50 and 5,073.48 is: 7,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465 : 18,697.50 = 5,073.48 : x
  2. Step 2: Convert to fraction form
    12,465/18,697.50 = 5,073.48/x
  3. Step 3: Cross multiply
    12,465x = 18,697.50 × 5,073.48
  4. Step 4: Simplify right side
    12,465x = 94,861,392.30
  5. Step 5: Solve for x
    x = 94,861,392.30/12,465
  6. Step 6: Final answer
    x = 7,610.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.