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Finding the Fourth Proportional to 14,037.74, 19,379.96 and 9,737.09

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Solution

The fourth proportional to 14,037.74, 19,379.96 and 9,737.09 is: 13,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,037.74 : 19,379.96 = 9,737.09 : x
  2. Step 2: Convert to fraction form
    14,037.74/19,379.96 = 9,737.09/x
  3. Step 3: Cross multiply
    14,037.74x = 19,379.96 × 9,737.09
  4. Step 4: Simplify right side
    14,037.74x = 188,704,487.33
  5. Step 5: Solve for x
    x = 188,704,487.33/14,037.74
  6. Step 6: Final answer
    x = 13,442.66

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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.