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Finding the Fourth Proportional to 13,711.58, 18,922.33 and 8,409.32

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Solution

The fourth proportional to 13,711.58, 18,922.33 and 8,409.32 is: 11,605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.58 : 18,922.33 = 8,409.32 : x
  2. Step 2: Convert to fraction form
    13,711.58/18,922.33 = 8,409.32/x
  3. Step 3: Cross multiply
    13,711.58x = 18,922.33 × 8,409.32
  4. Step 4: Simplify right side
    13,711.58x = 159,123,928.12
  5. Step 5: Solve for x
    x = 159,123,928.12/13,711.58
  6. Step 6: Final answer
    x = 11,605.08

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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.