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Finding the Fourth Proportional to 12,309.56, 18,464.40 and 4,101.56

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Solution

The fourth proportional to 12,309.56, 18,464.40 and 4,101.56 is: 6,152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.56 : 18,464.40 = 4,101.56 : x
  2. Step 2: Convert to fraction form
    12,309.56/18,464.40 = 4,101.56/x
  3. Step 3: Cross multiply
    12,309.56x = 18,464.40 × 4,101.56
  4. Step 4: Simplify right side
    12,309.56x = 75,732,844.46
  5. Step 5: Solve for x
    x = 75,732,844.46/12,309.56
  6. Step 6: Final answer
    x = 6,152.36

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1.5x scale

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.