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Finding the Fourth Proportional to 14,461.95, 21,696.09 and 6,149.07

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Solution

The fourth proportional to 14,461.95, 21,696.09 and 6,149.07 is: 9,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.95 : 21,696.09 = 6,149.07 : x
  2. Step 2: Convert to fraction form
    14,461.95/21,696.09 = 6,149.07/x
  3. Step 3: Cross multiply
    14,461.95x = 21,696.09 × 6,149.07
  4. Step 4: Simplify right side
    14,461.95x = 133,410,776.14
  5. Step 5: Solve for x
    x = 133,410,776.14/14,461.95
  6. Step 6: Final answer
    x = 9,224.95

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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.