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Finding the Fourth Proportional to 14,371.70, 19,835.70 and 8,084.07

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Solution

The fourth proportional to 14,371.70, 19,835.70 and 8,084.07 is: 11,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,371.70 : 19,835.70 = 8,084.07 : x
  2. Step 2: Convert to fraction form
    14,371.70/19,835.70 = 8,084.07/x
  3. Step 3: Cross multiply
    14,371.70x = 19,835.70 × 8,084.07
  4. Step 4: Simplify right side
    14,371.70x = 160,353,187.30
  5. Step 5: Solve for x
    x = 160,353,187.30/14,371.70
  6. Step 6: Final answer
    x = 11,157.57

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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.