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Finding the Fourth Proportional to 14,605.65, 21,911.19 and 6,814.44

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Solution

The fourth proportional to 14,605.65, 21,911.19 and 6,814.44 is: 10,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.65 : 21,911.19 = 6,814.44 : x
  2. Step 2: Convert to fraction form
    14,605.65/21,911.19 = 6,814.44/x
  3. Step 3: Cross multiply
    14,605.65x = 21,911.19 × 6,814.44
  4. Step 4: Simplify right side
    14,605.65x = 149,312,489.58
  5. Step 5: Solve for x
    x = 149,312,489.58/14,605.65
  6. Step 6: Final answer
    x = 10,222.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.