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Finding the Fourth Proportional to 12,180.16, 16,799.97 and 7,463.53

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Solution

The fourth proportional to 12,180.16, 16,799.97 and 7,463.53 is: 10,294.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.16 : 16,799.97 = 7,463.53 : x
  2. Step 2: Convert to fraction form
    12,180.16/16,799.97 = 7,463.53/x
  3. Step 3: Cross multiply
    12,180.16x = 16,799.97 × 7,463.53
  4. Step 4: Simplify right side
    12,180.16x = 125,387,080.09
  5. Step 5: Solve for x
    x = 125,387,080.09/12,180.16
  6. Step 6: Final answer
    x = 10,294.37

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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.