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Finding the Fourth Proportional to 12,178.44, 16,806.42 and 7,461

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Solution

The fourth proportional to 12,178.44, 16,806.42 and 7,461 is: 10,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.44 : 16,806.42 = 7,461 : x
  2. Step 2: Convert to fraction form
    12,178.44/16,806.42 = 7,461/x
  3. Step 3: Cross multiply
    12,178.44x = 16,806.42 × 7,461
  4. Step 4: Simplify right side
    12,178.44x = 125,392,699.62
  5. Step 5: Solve for x
    x = 125,392,699.62/12,178.44
  6. Step 6: Final answer
    x = 10,296.29

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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.