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Finding the Fourth Proportional to 14,384.96, 19,850.96 and 8,097.20

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Solution

The fourth proportional to 14,384.96, 19,850.96 and 8,097.20 is: 11,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384.96 : 19,850.96 = 8,097.20 : x
  2. Step 2: Convert to fraction form
    14,384.96/19,850.96 = 8,097.20/x
  3. Step 3: Cross multiply
    14,384.96x = 19,850.96 × 8,097.20
  4. Step 4: Simplify right side
    14,384.96x = 160,737,193.31
  5. Step 5: Solve for x
    x = 160,737,193.31/14,384.96
  6. Step 6: Final answer
    x = 11,173.98

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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.