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Finding the Fourth Proportional to 14,782.88, 22,174.25 and 4,922.14

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Solution

The fourth proportional to 14,782.88, 22,174.25 and 4,922.14 is: 7,383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.88 : 22,174.25 = 4,922.14 : x
  2. Step 2: Convert to fraction form
    14,782.88/22,174.25 = 4,922.14/x
  3. Step 3: Cross multiply
    14,782.88x = 22,174.25 × 4,922.14
  4. Step 4: Simplify right side
    14,782.88x = 109,144,762.90
  5. Step 5: Solve for x
    x = 109,144,762.90/14,782.88
  6. Step 6: Final answer
    x = 7,383.19

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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.