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Finding the Fourth Proportional to 4,784.24, 7,174.20 and 4,633.04

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Solution

The fourth proportional to 4,784.24, 7,174.20 and 4,633.04 is: 6,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.24 : 7,174.20 = 4,633.04 : x
  2. Step 2: Convert to fraction form
    4,784.24/7,174.20 = 4,633.04/x
  3. Step 3: Cross multiply
    4,784.24x = 7,174.20 × 4,633.04
  4. Step 4: Simplify right side
    4,784.24x = 33,238,355.57
  5. Step 5: Solve for x
    x = 33,238,355.57/4,784.24
  6. Step 6: Final answer
    x = 6,947.47

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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.