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Finding the Fourth Proportional to 6,471.30, 8,923.40 and 4,975.92

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Solution

The fourth proportional to 6,471.30, 8,923.40 and 4,975.92 is: 6,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.30 : 8,923.40 = 4,975.92 : x
  2. Step 2: Convert to fraction form
    6,471.30/8,923.40 = 4,975.92/x
  3. Step 3: Cross multiply
    6,471.30x = 8,923.40 × 4,975.92
  4. Step 4: Simplify right side
    6,471.30x = 44,402,099.65
  5. Step 5: Solve for x
    x = 44,402,099.65/6,471.30
  6. Step 6: Final answer
    x = 6,861.39

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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.