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Finding the Fourth Proportional to 7,832.01, 10,807.47 and 4,474.82

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Solution

The fourth proportional to 7,832.01, 10,807.47 and 4,474.82 is: 6,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.01 : 10,807.47 = 4,474.82 : x
  2. Step 2: Convert to fraction form
    7,832.01/10,807.47 = 4,474.82/x
  3. Step 3: Cross multiply
    7,832.01x = 10,807.47 × 4,474.82
  4. Step 4: Simplify right side
    7,832.01x = 48,361,428.87
  5. Step 5: Solve for x
    x = 48,361,428.87/7,832.01
  6. Step 6: Final answer
    x = 6,174.84

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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.