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Finding the Fourth Proportional to 6,478.57, 9,709.82 and 4,601.46

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Solution

The fourth proportional to 6,478.57, 9,709.82 and 4,601.46 is: 6,896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.57 : 9,709.82 = 4,601.46 : x
  2. Step 2: Convert to fraction form
    6,478.57/9,709.82 = 4,601.46/x
  3. Step 3: Cross multiply
    6,478.57x = 9,709.82 × 4,601.46
  4. Step 4: Simplify right side
    6,478.57x = 44,679,325.33
  5. Step 5: Solve for x
    x = 44,679,325.33/6,478.57
  6. Step 6: Final answer
    x = 6,896.48

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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.