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Finding the Fourth Proportional to 14,605.66, 21,906.33 and 5,369.50

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Solution

The fourth proportional to 14,605.66, 21,906.33 and 5,369.50 is: 8,053.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,605.66 : 21,906.33 = 5,369.50 : x
  2. Step 2: Convert to fraction form
    14,605.66/21,906.33 = 5,369.50/x
  3. Step 3: Cross multiply
    14,605.66x = 21,906.33 × 5,369.50
  4. Step 4: Simplify right side
    14,605.66x = 117,626,038.94
  5. Step 5: Solve for x
    x = 117,626,038.94/14,605.66
  6. Step 6: Final answer
    x = 8,053.46

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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.