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Finding the Fourth Proportional to 14,222.66, 19,626.10 and 7,934.90

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Solution

The fourth proportional to 14,222.66, 19,626.10 and 7,934.90 is: 10,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222.66 : 19,626.10 = 7,934.90 : x
  2. Step 2: Convert to fraction form
    14,222.66/19,626.10 = 7,934.90/x
  3. Step 3: Cross multiply
    14,222.66x = 19,626.10 × 7,934.90
  4. Step 4: Simplify right side
    14,222.66x = 155,731,022.92
  5. Step 5: Solve for x
    x = 155,731,022.92/14,222.66
  6. Step 6: Final answer
    x = 10,949.50

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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.