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Finding the Fourth Proportional to 13,374.15, 18,453.78 and 7,405.53

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Solution

The fourth proportional to 13,374.15, 18,453.78 and 7,405.53 is: 10,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.15 : 18,453.78 = 7,405.53 : x
  2. Step 2: Convert to fraction form
    13,374.15/18,453.78 = 7,405.53/x
  3. Step 3: Cross multiply
    13,374.15x = 18,453.78 × 7,405.53
  4. Step 4: Simplify right side
    13,374.15x = 136,660,021.40
  5. Step 5: Solve for x
    x = 136,660,021.40/13,374.15
  6. Step 6: Final answer
    x = 10,218.22

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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.