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Finding the Fourth Proportional to 14,633, 21,949.76 and 4,772.24

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Solution

The fourth proportional to 14,633, 21,949.76 and 4,772.24 is: 7,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633 : 21,949.76 = 4,772.24 : x
  2. Step 2: Convert to fraction form
    14,633/21,949.76 = 4,772.24/x
  3. Step 3: Cross multiply
    14,633x = 21,949.76 × 4,772.24
  4. Step 4: Simplify right side
    14,633x = 104,749,522.66
  5. Step 5: Solve for x
    x = 104,749,522.66/14,633
  6. Step 6: Final answer
    x = 7,158.44

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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.