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Finding the Fourth Proportional to 7,129.57, 9,832.44 and 4,477.24

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Solution

The fourth proportional to 7,129.57, 9,832.44 and 4,477.24 is: 6,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.57 : 9,832.44 = 4,477.24 : x
  2. Step 2: Convert to fraction form
    7,129.57/9,832.44 = 4,477.24/x
  3. Step 3: Cross multiply
    7,129.57x = 9,832.44 × 4,477.24
  4. Step 4: Simplify right side
    7,129.57x = 44,022,193.67
  5. Step 5: Solve for x
    x = 44,022,193.67/7,129.57
  6. Step 6: Final answer
    x = 6,174.59

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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.