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Finding the Fourth Proportional to 14,337, 19,780.20 and 9,033.12

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Solution

The fourth proportional to 14,337, 19,780.20 and 9,033.12 is: 12,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337 : 19,780.20 = 9,033.12 : x
  2. Step 2: Convert to fraction form
    14,337/19,780.20 = 9,033.12/x
  3. Step 3: Cross multiply
    14,337x = 19,780.20 × 9,033.12
  4. Step 4: Simplify right side
    14,337x = 178,676,920.22
  5. Step 5: Solve for x
    x = 178,676,920.22/14,337
  6. Step 6: Final answer
    x = 12,462.64

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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.