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Finding the Fourth Proportional to 14,337, 19,776.49 and 9,022.59

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Solution

The fourth proportional to 14,337, 19,776.49 and 9,022.59 is: 12,445.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337 : 19,776.49 = 9,022.59 : x
  2. Step 2: Convert to fraction form
    14,337/19,776.49 = 9,022.59/x
  3. Step 3: Cross multiply
    14,337x = 19,776.49 × 9,022.59
  4. Step 4: Simplify right side
    14,337x = 178,435,138.35
  5. Step 5: Solve for x
    x = 178,435,138.35/14,337
  6. Step 6: Final answer
    x = 12,445.78

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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.