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Finding the Fourth Proportional to 13,804.50, 19,052.37 and 8,218.74

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Solution

The fourth proportional to 13,804.50, 19,052.37 and 8,218.74 is: 11,343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.50 : 19,052.37 = 8,218.74 : x
  2. Step 2: Convert to fraction form
    13,804.50/19,052.37 = 8,218.74/x
  3. Step 3: Cross multiply
    13,804.50x = 19,052.37 × 8,218.74
  4. Step 4: Simplify right side
    13,804.50x = 156,586,475.41
  5. Step 5: Solve for x
    x = 156,586,475.41/13,804.50
  6. Step 6: Final answer
    x = 11,343.15

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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.